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Finding the Fourth Proportional to 7,132.29, 9,843.92 and 4,778.53

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Solution

The fourth proportional to 7,132.29, 9,843.92 and 4,778.53 is: 6,595.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.29 : 9,843.92 = 4,778.53 : x
  2. Step 2: Convert to fraction form
    7,132.29/9,843.92 = 4,778.53/x
  3. Step 3: Cross multiply
    7,132.29x = 9,843.92 × 4,778.53
  4. Step 4: Simplify right side
    7,132.29x = 47,039,443.14
  5. Step 5: Solve for x
    x = 47,039,443.14/7,132.29
  6. Step 6: Final answer
    x = 6,595.28

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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.