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Finding the Fourth Proportional to 20,077.68, 30,116.52 and 8,384.52

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Solution

The fourth proportional to 20,077.68, 30,116.52 and 8,384.52 is: 12,576.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,077.68 : 30,116.52 = 8,384.52 : x
  2. Step 2: Convert to fraction form
    20,077.68/30,116.52 = 8,384.52/x
  3. Step 3: Cross multiply
    20,077.68x = 30,116.52 × 8,384.52
  4. Step 4: Simplify right side
    20,077.68x = 252,512,564.27
  5. Step 5: Solve for x
    x = 252,512,564.27/20,077.68
  6. Step 6: Final answer
    x = 12,576.78

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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.