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Finding the Fourth Proportional to 8,564.31, 12,849.62 and 6,118.38

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Solution

The fourth proportional to 8,564.31, 12,849.62 and 6,118.38 is: 9,179.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.31 : 12,849.62 = 6,118.38 : x
  2. Step 2: Convert to fraction form
    8,564.31/12,849.62 = 6,118.38/x
  3. Step 3: Cross multiply
    8,564.31x = 12,849.62 × 6,118.38
  4. Step 4: Simplify right side
    8,564.31x = 78,618,827.42
  5. Step 5: Solve for x
    x = 78,618,827.42/8,564.31
  6. Step 6: Final answer
    x = 9,179.82

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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.