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Finding the Fourth Proportional to 8,342.43, 12,527.96 and 7,407.49

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Solution

The fourth proportional to 8,342.43, 12,527.96 and 7,407.49 is: 11,123.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.43 : 12,527.96 = 7,407.49 : x
  2. Step 2: Convert to fraction form
    8,342.43/12,527.96 = 7,407.49/x
  3. Step 3: Cross multiply
    8,342.43x = 12,527.96 × 7,407.49
  4. Step 4: Simplify right side
    8,342.43x = 92,800,738.42
  5. Step 5: Solve for x
    x = 92,800,738.42/8,342.43
  6. Step 6: Final answer
    x = 11,123.95

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1.5x scale

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.