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Finding the Fourth Proportional to 8,290.60, 12,439.13 and 3,096.88

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Solution

The fourth proportional to 8,290.60, 12,439.13 and 3,096.88 is: 4,646.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.60 : 12,439.13 = 3,096.88 : x
  2. Step 2: Convert to fraction form
    8,290.60/12,439.13 = 3,096.88/x
  3. Step 3: Cross multiply
    8,290.60x = 12,439.13 × 3,096.88
  4. Step 4: Simplify right side
    8,290.60x = 38,522,492.91
  5. Step 5: Solve for x
    x = 38,522,492.91/8,290.60
  6. Step 6: Final answer
    x = 4,646.53

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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.