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Finding the Fourth Proportional to 2,494.31, 3,739.14 and 1,106.91

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Solution

The fourth proportional to 2,494.31, 3,739.14 and 1,106.91 is: 1,659.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.31 : 3,739.14 = 1,106.91 : x
  2. Step 2: Convert to fraction form
    2,494.31/3,739.14 = 1,106.91/x
  3. Step 3: Cross multiply
    2,494.31x = 3,739.14 × 1,106.91
  4. Step 4: Simplify right side
    2,494.31x = 4,138,891.46
  5. Step 5: Solve for x
    x = 4,138,891.46/2,494.31
  6. Step 6: Final answer
    x = 1,659.34

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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.