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Finding the Fourth Proportional to 1,351.42, 1,864.03 and 827.71

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Solution

The fourth proportional to 1,351.42, 1,864.03 and 827.71 is: 1,141.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.42 : 1,864.03 = 827.71 : x
  2. Step 2: Convert to fraction form
    1,351.42/1,864.03 = 827.71/x
  3. Step 3: Cross multiply
    1,351.42x = 1,864.03 × 827.71
  4. Step 4: Simplify right side
    1,351.42x = 1,542,862.81
  5. Step 5: Solve for x
    x = 1,542,862.81/1,351.42
  6. Step 6: Final answer
    x = 1,141.66

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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.