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Finding the Fourth Proportional to 21,264, 29,344.32 and 12,432

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Solution

The fourth proportional to 21,264, 29,344.32 and 12,432 is: 17,156.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,264 : 29,344.32 = 12,432 : x
  2. Step 2: Convert to fraction form
    21,264/29,344.32 = 12,432/x
  3. Step 3: Cross multiply
    21,264x = 29,344.32 × 12,432
  4. Step 4: Simplify right side
    21,264x = 364,808,586.24
  5. Step 5: Solve for x
    x = 364,808,586.24/21,264
  6. Step 6: Final answer
    x = 17,156.16

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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.