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Finding the Fourth Proportional to 2,254.61, 3,382.11 and 611.16

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Solution

The fourth proportional to 2,254.61, 3,382.11 and 611.16 is: 916.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.61 : 3,382.11 = 611.16 : x
  2. Step 2: Convert to fraction form
    2,254.61/3,382.11 = 611.16/x
  3. Step 3: Cross multiply
    2,254.61x = 3,382.11 × 611.16
  4. Step 4: Simplify right side
    2,254.61x = 2,067,010.35
  5. Step 5: Solve for x
    x = 2,067,010.35/2,254.61
  6. Step 6: Final answer
    x = 916.79

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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.