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Finding the Fourth Proportional to 5,781.68, 7,970.22 and 4,097.86

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Solution

The fourth proportional to 5,781.68, 7,970.22 and 4,097.86 is: 5,649.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.68 : 7,970.22 = 4,097.86 : x
  2. Step 2: Convert to fraction form
    5,781.68/7,970.22 = 4,097.86/x
  3. Step 3: Cross multiply
    5,781.68x = 7,970.22 × 4,097.86
  4. Step 4: Simplify right side
    5,781.68x = 32,660,845.73
  5. Step 5: Solve for x
    x = 32,660,845.73/5,781.68
  6. Step 6: Final answer
    x = 5,649.02

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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.