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Finding the Fourth Proportional to 1,647.92, 2,471.88 and 1,138.16

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Solution

The fourth proportional to 1,647.92, 2,471.88 and 1,138.16 is: 1,707.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.92 : 2,471.88 = 1,138.16 : x
  2. Step 2: Convert to fraction form
    1,647.92/2,471.88 = 1,138.16/x
  3. Step 3: Cross multiply
    1,647.92x = 2,471.88 × 1,138.16
  4. Step 4: Simplify right side
    1,647.92x = 2,813,394.94
  5. Step 5: Solve for x
    x = 2,813,394.94/1,647.92
  6. Step 6: Final answer
    x = 1,707.24

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Similar ratio
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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.