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Finding the Fourth Proportional to 1,425.42, 1,963.14 and 1,228.86

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Solution

The fourth proportional to 1,425.42, 1,963.14 and 1,228.86 is: 1,692.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.42 : 1,963.14 = 1,228.86 : x
  2. Step 2: Convert to fraction form
    1,425.42/1,963.14 = 1,228.86/x
  3. Step 3: Cross multiply
    1,425.42x = 1,963.14 × 1,228.86
  4. Step 4: Simplify right side
    1,425.42x = 2,412,424.22
  5. Step 5: Solve for x
    x = 2,412,424.22/1,425.42
  6. Step 6: Final answer
    x = 1,692.43

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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.