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Finding the Fourth Proportional to 8,438.40, 12,650.40 and 3,242.88

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Solution

The fourth proportional to 8,438.40, 12,650.40 and 3,242.88 is: 4,861.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.40 : 12,650.40 = 3,242.88 : x
  2. Step 2: Convert to fraction form
    8,438.40/12,650.40 = 3,242.88/x
  3. Step 3: Cross multiply
    8,438.40x = 12,650.40 × 3,242.88
  4. Step 4: Simplify right side
    8,438.40x = 41,023,729.15
  5. Step 5: Solve for x
    x = 41,023,729.15/8,438.40
  6. Step 6: Final answer
    x = 4,861.55

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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.