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Finding the Fourth Proportional to 20,002.80, 29,978.22 and 8,142.74

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Solution

The fourth proportional to 20,002.80, 29,978.22 and 8,142.74 is: 12,203.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,002.80 : 29,978.22 = 8,142.74 : x
  2. Step 2: Convert to fraction form
    20,002.80/29,978.22 = 8,142.74/x
  3. Step 3: Cross multiply
    20,002.80x = 29,978.22 × 8,142.74
  4. Step 4: Simplify right side
    20,002.80x = 244,104,851.12
  5. Step 5: Solve for x
    x = 244,104,851.12/20,002.80
  6. Step 6: Final answer
    x = 12,203.53

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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.