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Finding the Fourth Proportional to 3,273.92, 4,518 and 1,781.84

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Solution

The fourth proportional to 3,273.92, 4,518 and 1,781.84 is: 2,458.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.92 : 4,518 = 1,781.84 : x
  2. Step 2: Convert to fraction form
    3,273.92/4,518 = 1,781.84/x
  3. Step 3: Cross multiply
    3,273.92x = 4,518 × 1,781.84
  4. Step 4: Simplify right side
    3,273.92x = 8,050,353.12
  5. Step 5: Solve for x
    x = 8,050,353.12/3,273.92
  6. Step 6: Final answer
    x = 2,458.93

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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.