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Finding the Fourth Proportional to 2,617.12, 3,924.86 and 861.76

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Solution

The fourth proportional to 2,617.12, 3,924.86 and 861.76 is: 1,292.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.12 : 3,924.86 = 861.76 : x
  2. Step 2: Convert to fraction form
    2,617.12/3,924.86 = 861.76/x
  3. Step 3: Cross multiply
    2,617.12x = 3,924.86 × 861.76
  4. Step 4: Simplify right side
    2,617.12x = 3,382,273.23
  5. Step 5: Solve for x
    x = 3,382,273.23/2,617.12
  6. Step 6: Final answer
    x = 1,292.37

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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.