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Finding the Fourth Proportional to 8,609.48, 12,910.62 and 3,989

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Solution

The fourth proportional to 8,609.48, 12,910.62 and 3,989 is: 5,981.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609.48 : 12,910.62 = 3,989 : x
  2. Step 2: Convert to fraction form
    8,609.48/12,910.62 = 3,989/x
  3. Step 3: Cross multiply
    8,609.48x = 12,910.62 × 3,989
  4. Step 4: Simplify right side
    8,609.48x = 51,500,463.18
  5. Step 5: Solve for x
    x = 51,500,463.18/8,609.48
  6. Step 6: Final answer
    x = 5,981.83

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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.