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Finding the Fourth Proportional to 2,129.11, 3,194.54 and 942.53

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Solution

The fourth proportional to 2,129.11, 3,194.54 and 942.53 is: 1,414.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.11 : 3,194.54 = 942.53 : x
  2. Step 2: Convert to fraction form
    2,129.11/3,194.54 = 942.53/x
  3. Step 3: Cross multiply
    2,129.11x = 3,194.54 × 942.53
  4. Step 4: Simplify right side
    2,129.11x = 3,010,932.64
  5. Step 5: Solve for x
    x = 3,010,932.64/2,129.11
  6. Step 6: Final answer
    x = 1,414.18

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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.