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Finding the Fourth Proportional to 1,269.28, 1,908.24 and 1,174.24

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Solution

The fourth proportional to 1,269.28, 1,908.24 and 1,174.24 is: 1,765.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.28 : 1,908.24 = 1,174.24 : x
  2. Step 2: Convert to fraction form
    1,269.28/1,908.24 = 1,174.24/x
  3. Step 3: Cross multiply
    1,269.28x = 1,908.24 × 1,174.24
  4. Step 4: Simplify right side
    1,269.28x = 2,240,731.74
  5. Step 5: Solve for x
    x = 2,240,731.74/1,269.28
  6. Step 6: Final answer
    x = 1,765.36

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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.