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Finding the Fourth Proportional to 20,029.40, 30,044.10 and 9,642.20

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Solution

The fourth proportional to 20,029.40, 30,044.10 and 9,642.20 is: 14,463.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,029.40 : 30,044.10 = 9,642.20 : x
  2. Step 2: Convert to fraction form
    20,029.40/30,044.10 = 9,642.20/x
  3. Step 3: Cross multiply
    20,029.40x = 30,044.10 × 9,642.20
  4. Step 4: Simplify right side
    20,029.40x = 289,691,221.02
  5. Step 5: Solve for x
    x = 289,691,221.02/20,029.40
  6. Step 6: Final answer
    x = 14,463.30

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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.