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Finding the Fourth Proportional to 7,046.60, 9,724.50 and 3,902.60

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Solution

The fourth proportional to 7,046.60, 9,724.50 and 3,902.60 is: 5,385.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.60 : 9,724.50 = 3,902.60 : x
  2. Step 2: Convert to fraction form
    7,046.60/9,724.50 = 3,902.60/x
  3. Step 3: Cross multiply
    7,046.60x = 9,724.50 × 3,902.60
  4. Step 4: Simplify right side
    7,046.60x = 37,950,833.70
  5. Step 5: Solve for x
    x = 37,950,833.70/7,046.60
  6. Step 6: Final answer
    x = 5,385.69

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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.