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Finding the Fourth Proportional to 20,443.78, 30,640.02 and 8,743.24

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Solution

The fourth proportional to 20,443.78, 30,640.02 and 8,743.24 is: 13,103.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,443.78 : 30,640.02 = 8,743.24 : x
  2. Step 2: Convert to fraction form
    20,443.78/30,640.02 = 8,743.24/x
  3. Step 3: Cross multiply
    20,443.78x = 30,640.02 × 8,743.24
  4. Step 4: Simplify right side
    20,443.78x = 267,893,048.46
  5. Step 5: Solve for x
    x = 267,893,048.46/20,443.78
  6. Step 6: Final answer
    x = 13,103.89

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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.