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Finding the Fourth Proportional to 8,689, 13,024.62 and 3,761.80

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Solution

The fourth proportional to 8,689, 13,024.62 and 3,761.80 is: 5,638.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,689 : 13,024.62 = 3,761.80 : x
  2. Step 2: Convert to fraction form
    8,689/13,024.62 = 3,761.80/x
  3. Step 3: Cross multiply
    8,689x = 13,024.62 × 3,761.80
  4. Step 4: Simplify right side
    8,689x = 48,996,015.52
  5. Step 5: Solve for x
    x = 48,996,015.52/8,689
  6. Step 6: Final answer
    x = 5,638.86

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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.