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Finding the Fourth Proportional to 2,617.86, 3,926.18 and 1,229.88

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Solution

The fourth proportional to 2,617.86, 3,926.18 and 1,229.88 is: 1,844.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.86 : 3,926.18 = 1,229.88 : x
  2. Step 2: Convert to fraction form
    2,617.86/3,926.18 = 1,229.88/x
  3. Step 3: Cross multiply
    2,617.86x = 3,926.18 × 1,229.88
  4. Step 4: Simplify right side
    2,617.86x = 4,828,730.26
  5. Step 5: Solve for x
    x = 4,828,730.26/2,617.86
  6. Step 6: Final answer
    x = 1,844.53

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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.