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Finding the Fourth Proportional to 13,043.49, 17,999.65 and 7,738.19

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Solution

The fourth proportional to 13,043.49, 17,999.65 and 7,738.19 is: 10,678.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,043.49 : 17,999.65 = 7,738.19 : x
  2. Step 2: Convert to fraction form
    13,043.49/17,999.65 = 7,738.19/x
  3. Step 3: Cross multiply
    13,043.49x = 17,999.65 × 7,738.19
  4. Step 4: Simplify right side
    13,043.49x = 139,284,711.63
  5. Step 5: Solve for x
    x = 139,284,711.63/13,043.49
  6. Step 6: Final answer
    x = 10,678.48

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.