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Finding the Fourth Proportional to 2,094.84, 3,142.20 and 861.90

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Solution

The fourth proportional to 2,094.84, 3,142.20 and 861.90 is: 1,292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.84 : 3,142.20 = 861.90 : x
  2. Step 2: Convert to fraction form
    2,094.84/3,142.20 = 861.90/x
  3. Step 3: Cross multiply
    2,094.84x = 3,142.20 × 861.90
  4. Step 4: Simplify right side
    2,094.84x = 2,708,262.18
  5. Step 5: Solve for x
    x = 2,708,262.18/2,094.84
  6. Step 6: Final answer
    x = 1,292.83

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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.