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Finding the Fourth Proportional to 5,781.86, 7,978.96 and 3,129.26

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Solution

The fourth proportional to 5,781.86, 7,978.96 and 3,129.26 is: 4,318.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.86 : 7,978.96 = 3,129.26 : x
  2. Step 2: Convert to fraction form
    5,781.86/7,978.96 = 3,129.26/x
  3. Step 3: Cross multiply
    5,781.86x = 7,978.96 × 3,129.26
  4. Step 4: Simplify right side
    5,781.86x = 24,968,209.23
  5. Step 5: Solve for x
    x = 24,968,209.23/5,781.86
  6. Step 6: Final answer
    x = 4,318.37

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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.