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Finding the Fourth Proportional to 2,093.67, 3,142.14 and 861.93

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Solution

The fourth proportional to 2,093.67, 3,142.14 and 861.93 is: 1,293.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.67 : 3,142.14 = 861.93 : x
  2. Step 2: Convert to fraction form
    2,093.67/3,142.14 = 861.93/x
  3. Step 3: Cross multiply
    2,093.67x = 3,142.14 × 861.93
  4. Step 4: Simplify right side
    2,093.67x = 2,708,304.73
  5. Step 5: Solve for x
    x = 2,708,304.73/2,093.67
  6. Step 6: Final answer
    x = 1,293.57

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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.