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Finding the Fourth Proportional to 2,167.95, 3,251.93 and 1,249.51

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Solution

The fourth proportional to 2,167.95, 3,251.93 and 1,249.51 is: 1,874.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.95 : 3,251.93 = 1,249.51 : x
  2. Step 2: Convert to fraction form
    2,167.95/3,251.93 = 1,249.51/x
  3. Step 3: Cross multiply
    2,167.95x = 3,251.93 × 1,249.51
  4. Step 4: Simplify right side
    2,167.95x = 4,063,319.05
  5. Step 5: Solve for x
    x = 4,063,319.05/2,167.95
  6. Step 6: Final answer
    x = 1,874.27

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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.