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Finding the Fourth Proportional to 1,512.38, 2,086.92 and 849.30

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Solution

The fourth proportional to 1,512.38, 2,086.92 and 849.30 is: 1,171.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.38 : 2,086.92 = 849.30 : x
  2. Step 2: Convert to fraction form
    1,512.38/2,086.92 = 849.30/x
  3. Step 3: Cross multiply
    1,512.38x = 2,086.92 × 849.30
  4. Step 4: Simplify right side
    1,512.38x = 1,772,426.37
  5. Step 5: Solve for x
    x = 1,772,426.37/1,512.38
  6. Step 6: Final answer
    x = 1,171.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.