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Finding the Fourth Proportional to 10,916.32, 16,375.04 and 3,125.20

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Solution

The fourth proportional to 10,916.32, 16,375.04 and 3,125.20 is: 4,687.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,916.32 : 16,375.04 = 3,125.20 : x
  2. Step 2: Convert to fraction form
    10,916.32/16,375.04 = 3,125.20/x
  3. Step 3: Cross multiply
    10,916.32x = 16,375.04 × 3,125.20
  4. Step 4: Simplify right side
    10,916.32x = 51,175,275.01
  5. Step 5: Solve for x
    x = 51,175,275.01/10,916.32
  6. Step 6: Final answer
    x = 4,687.96

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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.