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Finding the Fourth Proportional to 5,781.62, 7,978.62 and 3,129.08

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Solution

The fourth proportional to 5,781.62, 7,978.62 and 3,129.08 is: 4,318.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.62 : 7,978.62 = 3,129.08 : x
  2. Step 2: Convert to fraction form
    5,781.62/7,978.62 = 3,129.08/x
  3. Step 3: Cross multiply
    5,781.62x = 7,978.62 × 3,129.08
  4. Step 4: Simplify right side
    5,781.62x = 24,965,740.27
  5. Step 5: Solve for x
    x = 24,965,740.27/5,781.62
  6. Step 6: Final answer
    x = 4,318.12

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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.