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Finding the Fourth Proportional to 34,227.60, 47,229 and 20,791.76

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Solution

The fourth proportional to 34,227.60, 47,229 and 20,791.76 is: 28,689.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,227.60 : 47,229 = 20,791.76 : x
  2. Step 2: Convert to fraction form
    34,227.60/47,229 = 20,791.76/x
  3. Step 3: Cross multiply
    34,227.60x = 47,229 × 20,791.76
  4. Step 4: Simplify right side
    34,227.60x = 981,974,033.04
  5. Step 5: Solve for x
    x = 981,974,033.04/34,227.60
  6. Step 6: Final answer
    x = 28,689.54

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1.5x scale

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.