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Finding the Fourth Proportional to 8,488.74, 12,742.42 and 6,744.95

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Solution

The fourth proportional to 8,488.74, 12,742.42 and 6,744.95 is: 10,124.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,488.74 : 12,742.42 = 6,744.95 : x
  2. Step 2: Convert to fraction form
    8,488.74/12,742.42 = 6,744.95/x
  3. Step 3: Cross multiply
    8,488.74x = 12,742.42 × 6,744.95
  4. Step 4: Simplify right side
    8,488.74x = 85,946,985.78
  5. Step 5: Solve for x
    x = 85,946,985.78/8,488.74
  6. Step 6: Final answer
    x = 10,124.82

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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.