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Finding the Fourth Proportional to 2,773.92, 4,154.88 and 2,081.64

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Solution

The fourth proportional to 2,773.92, 4,154.88 and 2,081.64 is: 3,117.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.92 : 4,154.88 = 2,081.64 : x
  2. Step 2: Convert to fraction form
    2,773.92/4,154.88 = 2,081.64/x
  3. Step 3: Cross multiply
    2,773.92x = 4,154.88 × 2,081.64
  4. Step 4: Simplify right side
    2,773.92x = 8,648,964.40
  5. Step 5: Solve for x
    x = 8,648,964.40/2,773.92
  6. Step 6: Final answer
    x = 3,117.96

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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.