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Finding the Fourth Proportional to 12,381.63, 17,084.01 and 7,347.69

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Solution

The fourth proportional to 12,381.63, 17,084.01 and 7,347.69 is: 10,138.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.63 : 17,084.01 = 7,347.69 : x
  2. Step 2: Convert to fraction form
    12,381.63/17,084.01 = 7,347.69/x
  3. Step 3: Cross multiply
    12,381.63x = 17,084.01 × 7,347.69
  4. Step 4: Simplify right side
    12,381.63x = 125,528,009.44
  5. Step 5: Solve for x
    x = 125,528,009.44/12,381.63
  6. Step 6: Final answer
    x = 10,138.25

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Half 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.