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Finding the Fourth Proportional to 20,102.80, 30,142.04 and 9,007.44

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Solution

The fourth proportional to 20,102.80, 30,142.04 and 9,007.44 is: 13,505.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.80 : 30,142.04 = 9,007.44 : x
  2. Step 2: Convert to fraction form
    20,102.80/30,142.04 = 9,007.44/x
  3. Step 3: Cross multiply
    20,102.80x = 30,142.04 × 9,007.44
  4. Step 4: Simplify right side
    20,102.80x = 271,502,616.78
  5. Step 5: Solve for x
    x = 271,502,616.78/20,102.80
  6. Step 6: Final answer
    x = 13,505.71

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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.