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Finding the Fourth Proportional to 3,126.75, 4,691.75 and 1,587.75

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Solution

The fourth proportional to 3,126.75, 4,691.75 and 1,587.75 is: 2,382.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.75 : 4,691.75 = 1,587.75 : x
  2. Step 2: Convert to fraction form
    3,126.75/4,691.75 = 1,587.75/x
  3. Step 3: Cross multiply
    3,126.75x = 4,691.75 × 1,587.75
  4. Step 4: Simplify right side
    3,126.75x = 7,449,318.12
  5. Step 5: Solve for x
    x = 7,449,318.12/3,126.75
  6. Step 6: Final answer
    x = 2,382.45

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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.