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Finding the Fourth Proportional to 10,309.75, 15,472.82 and 3,737.81

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Solution

The fourth proportional to 10,309.75, 15,472.82 and 3,737.81 is: 5,609.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309.75 : 15,472.82 = 3,737.81 : x
  2. Step 2: Convert to fraction form
    10,309.75/15,472.82 = 3,737.81/x
  3. Step 3: Cross multiply
    10,309.75x = 15,472.82 × 3,737.81
  4. Step 4: Simplify right side
    10,309.75x = 57,834,461.32
  5. Step 5: Solve for x
    x = 57,834,461.32/10,309.75
  6. Step 6: Final answer
    x = 5,609.69

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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.