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Finding the Fourth Proportional to 7,291.27, 10,062.80 and 4,147.66

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Solution

The fourth proportional to 7,291.27, 10,062.80 and 4,147.66 is: 5,724.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291.27 : 10,062.80 = 4,147.66 : x
  2. Step 2: Convert to fraction form
    7,291.27/10,062.80 = 4,147.66/x
  3. Step 3: Cross multiply
    7,291.27x = 10,062.80 × 4,147.66
  4. Step 4: Simplify right side
    7,291.27x = 41,737,073.05
  5. Step 5: Solve for x
    x = 41,737,073.05/7,291.27
  6. Step 6: Final answer
    x = 5,724.25

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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.