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Finding the Fourth Proportional to 10,737.90, 14,815.85 and 7,211.30

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Solution

The fourth proportional to 10,737.90, 14,815.85 and 7,211.30 is: 9,949.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737.90 : 14,815.85 = 7,211.30 : x
  2. Step 2: Convert to fraction form
    10,737.90/14,815.85 = 7,211.30/x
  3. Step 3: Cross multiply
    10,737.90x = 14,815.85 × 7,211.30
  4. Step 4: Simplify right side
    10,737.90x = 106,841,428.97
  5. Step 5: Solve for x
    x = 106,841,428.97/10,737.90
  6. Step 6: Final answer
    x = 9,949.94

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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.