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Finding the Fourth Proportional to 2,751.73, 4,127.88 and 803.92

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Solution

The fourth proportional to 2,751.73, 4,127.88 and 803.92 is: 1,205.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.73 : 4,127.88 = 803.92 : x
  2. Step 2: Convert to fraction form
    2,751.73/4,127.88 = 803.92/x
  3. Step 3: Cross multiply
    2,751.73x = 4,127.88 × 803.92
  4. Step 4: Simplify right side
    2,751.73x = 3,318,485.29
  5. Step 5: Solve for x
    x = 3,318,485.29/2,751.73
  6. Step 6: Final answer
    x = 1,205.96

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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.