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Finding the Fourth Proportional to 7,158.92, 9,879.33 and 3,972.21

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Solution

The fourth proportional to 7,158.92, 9,879.33 and 3,972.21 is: 5,481.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.92 : 9,879.33 = 3,972.21 : x
  2. Step 2: Convert to fraction form
    7,158.92/9,879.33 = 3,972.21/x
  3. Step 3: Cross multiply
    7,158.92x = 9,879.33 × 3,972.21
  4. Step 4: Simplify right side
    7,158.92x = 39,242,773.42
  5. Step 5: Solve for x
    x = 39,242,773.42/7,158.92
  6. Step 6: Final answer
    x = 5,481.66

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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.