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Finding the Fourth Proportional to 1,425.14, 1,966.70 and 827.75

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Solution

The fourth proportional to 1,425.14, 1,966.70 and 827.75 is: 1,142.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.14 : 1,966.70 = 827.75 : x
  2. Step 2: Convert to fraction form
    1,425.14/1,966.70 = 827.75/x
  3. Step 3: Cross multiply
    1,425.14x = 1,966.70 × 827.75
  4. Step 4: Simplify right side
    1,425.14x = 1,627,942.91
  5. Step 5: Solve for x
    x = 1,627,942.91/1,425.14
  6. Step 6: Final answer
    x = 1,142.31

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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.