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Finding the Fourth Proportional to 7,046.38, 9,724 and 3,902.76

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Solution

The fourth proportional to 7,046.38, 9,724 and 3,902.76 is: 5,385.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.38 : 9,724 = 3,902.76 : x
  2. Step 2: Convert to fraction form
    7,046.38/9,724 = 3,902.76/x
  3. Step 3: Cross multiply
    7,046.38x = 9,724 × 3,902.76
  4. Step 4: Simplify right side
    7,046.38x = 37,950,438.24
  5. Step 5: Solve for x
    x = 37,950,438.24/7,046.38
  6. Step 6: Final answer
    x = 5,385.81

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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.