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Finding the Fourth Proportional to 7,046.50, 9,723.78 and 3,902.44

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Solution

The fourth proportional to 7,046.50, 9,723.78 and 3,902.44 is: 5,385.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.50 : 9,723.78 = 3,902.44 : x
  2. Step 2: Convert to fraction form
    7,046.50/9,723.78 = 3,902.44/x
  3. Step 3: Cross multiply
    7,046.50x = 9,723.78 × 3,902.44
  4. Step 4: Simplify right side
    7,046.50x = 37,946,468.02
  5. Step 5: Solve for x
    x = 37,946,468.02/7,046.50
  6. Step 6: Final answer
    x = 5,385.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.