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Finding the Fourth Proportional to 8,290.96, 12,434.60 and 2,742.96

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Solution

The fourth proportional to 8,290.96, 12,434.60 and 2,742.96 is: 4,113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.96 : 12,434.60 = 2,742.96 : x
  2. Step 2: Convert to fraction form
    8,290.96/12,434.60 = 2,742.96/x
  3. Step 3: Cross multiply
    8,290.96x = 12,434.60 × 2,742.96
  4. Step 4: Simplify right side
    8,290.96x = 34,107,610.42
  5. Step 5: Solve for x
    x = 34,107,610.42/8,290.96
  6. Step 6: Final answer
    x = 4,113.83

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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.