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Finding the Fourth Proportional to 7,171.43, 10,747.97 and 5,785.41

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Solution

The fourth proportional to 7,171.43, 10,747.97 and 5,785.41 is: 8,670.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.43 : 10,747.97 = 5,785.41 : x
  2. Step 2: Convert to fraction form
    7,171.43/10,747.97 = 5,785.41/x
  3. Step 3: Cross multiply
    7,171.43x = 10,747.97 × 5,785.41
  4. Step 4: Simplify right side
    7,171.43x = 62,181,478.73
  5. Step 5: Solve for x
    x = 62,181,478.73/7,171.43
  6. Step 6: Final answer
    x = 8,670.73

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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.