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Finding the Fourth Proportional to 7,046.48, 9,723.68 and 3,902.56

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Solution

The fourth proportional to 7,046.48, 9,723.68 and 3,902.56 is: 5,385.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.48 : 9,723.68 = 3,902.56 : x
  2. Step 2: Convert to fraction form
    7,046.48/9,723.68 = 3,902.56/x
  3. Step 3: Cross multiply
    7,046.48x = 9,723.68 × 3,902.56
  4. Step 4: Simplify right side
    7,046.48x = 37,947,244.62
  5. Step 5: Solve for x
    x = 37,947,244.62/7,046.48
  6. Step 6: Final answer
    x = 5,385.28

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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.