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Finding the Fourth Proportional to 10,491.42, 15,737.04 and 3,920.70

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Solution

The fourth proportional to 10,491.42, 15,737.04 and 3,920.70 is: 5,881.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.42 : 15,737.04 = 3,920.70 : x
  2. Step 2: Convert to fraction form
    10,491.42/15,737.04 = 3,920.70/x
  3. Step 3: Cross multiply
    10,491.42x = 15,737.04 × 3,920.70
  4. Step 4: Simplify right side
    10,491.42x = 61,700,212.73
  5. Step 5: Solve for x
    x = 61,700,212.73/10,491.42
  6. Step 6: Final answer
    x = 5,881.02

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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.