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Finding the Fourth Proportional to 2,705.92, 4,057.68 and 1,061.20

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Solution

The fourth proportional to 2,705.92, 4,057.68 and 1,061.20 is: 1,591.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.92 : 4,057.68 = 1,061.20 : x
  2. Step 2: Convert to fraction form
    2,705.92/4,057.68 = 1,061.20/x
  3. Step 3: Cross multiply
    2,705.92x = 4,057.68 × 1,061.20
  4. Step 4: Simplify right side
    2,705.92x = 4,306,010.02
  5. Step 5: Solve for x
    x = 4,306,010.02/2,705.92
  6. Step 6: Final answer
    x = 1,591.33

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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.