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Finding the Fourth Proportional to 34,149.52, 47,130.96 and 20,008

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Solution

The fourth proportional to 34,149.52, 47,130.96 and 20,008 is: 27,613.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,149.52 : 47,130.96 = 20,008 : x
  2. Step 2: Convert to fraction form
    34,149.52/47,130.96 = 20,008/x
  3. Step 3: Cross multiply
    34,149.52x = 47,130.96 × 20,008
  4. Step 4: Simplify right side
    34,149.52x = 942,996,247.68
  5. Step 5: Solve for x
    x = 942,996,247.68/34,149.52
  6. Step 6: Final answer
    x = 27,613.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.