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Finding the Fourth Proportional to 8,487.89, 12,728.80 and 2,939.75

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Solution

The fourth proportional to 8,487.89, 12,728.80 and 2,939.75 is: 4,408.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,487.89 : 12,728.80 = 2,939.75 : x
  2. Step 2: Convert to fraction form
    8,487.89/12,728.80 = 2,939.75/x
  3. Step 3: Cross multiply
    8,487.89x = 12,728.80 × 2,939.75
  4. Step 4: Simplify right side
    8,487.89x = 37,419,475.10
  5. Step 5: Solve for x
    x = 37,419,475.10/8,487.89
  6. Step 6: Final answer
    x = 4,408.57

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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.