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Finding the Fourth Proportional to 2,166.17, 3,249.65 and 867.74

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Solution

The fourth proportional to 2,166.17, 3,249.65 and 867.74 is: 1,301.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.17 : 3,249.65 = 867.74 : x
  2. Step 2: Convert to fraction form
    2,166.17/3,249.65 = 867.74/x
  3. Step 3: Cross multiply
    2,166.17x = 3,249.65 × 867.74
  4. Step 4: Simplify right side
    2,166.17x = 2,819,837.21
  5. Step 5: Solve for x
    x = 2,819,837.21/2,166.17
  6. Step 6: Final answer
    x = 1,301.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.