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Finding the Fourth Proportional to 13,005, 17,948.64 and 7,340.92

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Solution

The fourth proportional to 13,005, 17,948.64 and 7,340.92 is: 10,131.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005 : 17,948.64 = 7,340.92 : x
  2. Step 2: Convert to fraction form
    13,005/17,948.64 = 7,340.92/x
  3. Step 3: Cross multiply
    13,005x = 17,948.64 × 7,340.92
  4. Step 4: Simplify right side
    13,005x = 131,759,530.35
  5. Step 5: Solve for x
    x = 131,759,530.35/13,005
  6. Step 6: Final answer
    x = 10,131.45

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Double scale
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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.