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Finding the Fourth Proportional to 5,486.78, 8,231.52 and 1,591.22

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Solution

The fourth proportional to 5,486.78, 8,231.52 and 1,591.22 is: 2,387.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.78 : 8,231.52 = 1,591.22 : x
  2. Step 2: Convert to fraction form
    5,486.78/8,231.52 = 1,591.22/x
  3. Step 3: Cross multiply
    5,486.78x = 8,231.52 × 1,591.22
  4. Step 4: Simplify right side
    5,486.78x = 13,098,159.25
  5. Step 5: Solve for x
    x = 13,098,159.25/5,486.78
  6. Step 6: Final answer
    x = 2,387.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.