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Finding the Fourth Proportional to 8,689.67, 13,002.20 and 5,181.58

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Solution

The fourth proportional to 8,689.67, 13,002.20 and 5,181.58 is: 7,753.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689.67 : 13,002.20 = 5,181.58 : x
  2. Step 2: Convert to fraction form
    8,689.67/13,002.20 = 5,181.58/x
  3. Step 3: Cross multiply
    8,689.67x = 13,002.20 × 5,181.58
  4. Step 4: Simplify right side
    8,689.67x = 67,371,949.25
  5. Step 5: Solve for x
    x = 67,371,949.25/8,689.67
  6. Step 6: Final answer
    x = 7,753.11

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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.