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Finding the Fourth Proportional to 2,094.85, 3,142.95 and 634.15

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Solution

The fourth proportional to 2,094.85, 3,142.95 and 634.15 is: 951.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.85 : 3,142.95 = 634.15 : x
  2. Step 2: Convert to fraction form
    2,094.85/3,142.95 = 634.15/x
  3. Step 3: Cross multiply
    2,094.85x = 3,142.95 × 634.15
  4. Step 4: Simplify right side
    2,094.85x = 1,993,101.74
  5. Step 5: Solve for x
    x = 1,993,101.74/2,094.85
  6. Step 6: Final answer
    x = 951.43

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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.