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Finding the Fourth Proportional to 12,432, 17,156.16 and 7,464

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Solution

The fourth proportional to 12,432, 17,156.16 and 7,464 is: 10,300.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,432 : 17,156.16 = 7,464 : x
  2. Step 2: Convert to fraction form
    12,432/17,156.16 = 7,464/x
  3. Step 3: Cross multiply
    12,432x = 17,156.16 × 7,464
  4. Step 4: Simplify right side
    12,432x = 128,053,578.24
  5. Step 5: Solve for x
    x = 128,053,578.24/12,432
  6. Step 6: Final answer
    x = 10,300.32

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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.