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Finding the Fourth Proportional to 3,167.92, 4,371.42 and 1,770.76

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Solution

The fourth proportional to 3,167.92, 4,371.42 and 1,770.76 is: 2,443.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.92 : 4,371.42 = 1,770.76 : x
  2. Step 2: Convert to fraction form
    3,167.92/4,371.42 = 1,770.76/x
  3. Step 3: Cross multiply
    3,167.92x = 4,371.42 × 1,770.76
  4. Step 4: Simplify right side
    3,167.92x = 7,740,735.68
  5. Step 5: Solve for x
    x = 7,740,735.68/3,167.92
  6. Step 6: Final answer
    x = 2,443.48

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Half scale
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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.