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Finding the Fourth Proportional to 10,915.97, 16,373.90 and 3,124.78

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Solution

The fourth proportional to 10,915.97, 16,373.90 and 3,124.78 is: 4,687.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,915.97 : 16,373.90 = 3,124.78 : x
  2. Step 2: Convert to fraction form
    10,915.97/16,373.90 = 3,124.78/x
  3. Step 3: Cross multiply
    10,915.97x = 16,373.90 × 3,124.78
  4. Step 4: Simplify right side
    10,915.97x = 51,164,802.12
  5. Step 5: Solve for x
    x = 51,164,802.12/10,915.97
  6. Step 6: Final answer
    x = 4,687.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.