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Finding the Fourth Proportional to 20,407.70, 30,613.02 and 8,549.56

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Solution

The fourth proportional to 20,407.70, 30,613.02 and 8,549.56 is: 12,824.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,407.70 : 30,613.02 = 8,549.56 : x
  2. Step 2: Convert to fraction form
    20,407.70/30,613.02 = 8,549.56/x
  3. Step 3: Cross multiply
    20,407.70x = 30,613.02 × 8,549.56
  4. Step 4: Simplify right side
    20,407.70x = 261,727,851.27
  5. Step 5: Solve for x
    x = 261,727,851.27/20,407.70
  6. Step 6: Final answer
    x = 12,824.96

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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.