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Finding the Fourth Proportional to 2,652.68, 3,978.42 and 1,008.64

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Solution

The fourth proportional to 2,652.68, 3,978.42 and 1,008.64 is: 1,512.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.68 : 3,978.42 = 1,008.64 : x
  2. Step 2: Convert to fraction form
    2,652.68/3,978.42 = 1,008.64/x
  3. Step 3: Cross multiply
    2,652.68x = 3,978.42 × 1,008.64
  4. Step 4: Simplify right side
    2,652.68x = 4,012,793.55
  5. Step 5: Solve for x
    x = 4,012,793.55/2,652.68
  6. Step 6: Final answer
    x = 1,512.73

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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.