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Finding the Fourth Proportional to 5,909.60, 8,869.88 and 2,989.96

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Solution

The fourth proportional to 5,909.60, 8,869.88 and 2,989.96 is: 4,487.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909.60 : 8,869.88 = 2,989.96 : x
  2. Step 2: Convert to fraction form
    5,909.60/8,869.88 = 2,989.96/x
  3. Step 3: Cross multiply
    5,909.60x = 8,869.88 × 2,989.96
  4. Step 4: Simplify right side
    5,909.60x = 26,520,586.40
  5. Step 5: Solve for x
    x = 26,520,586.40/5,909.60
  6. Step 6: Final answer
    x = 4,487.71

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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.