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Finding the Fourth Proportional to 2,781.75, 4,173.30 and 932.88

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Solution

The fourth proportional to 2,781.75, 4,173.30 and 932.88 is: 1,399.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.75 : 4,173.30 = 932.88 : x
  2. Step 2: Convert to fraction form
    2,781.75/4,173.30 = 932.88/x
  3. Step 3: Cross multiply
    2,781.75x = 4,173.30 × 932.88
  4. Step 4: Simplify right side
    2,781.75x = 3,893,188.10
  5. Step 5: Solve for x
    x = 3,893,188.10/2,781.75
  6. Step 6: Final answer
    x = 1,399.55

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1.5x scale

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.