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Finding the Fourth Proportional to 1,269.14, 1,745.16 and 1,135.53

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Solution

The fourth proportional to 1,269.14, 1,745.16 and 1,135.53 is: 1,561.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.14 : 1,745.16 = 1,135.53 : x
  2. Step 2: Convert to fraction form
    1,269.14/1,745.16 = 1,135.53/x
  3. Step 3: Cross multiply
    1,269.14x = 1,745.16 × 1,135.53
  4. Step 4: Simplify right side
    1,269.14x = 1,981,681.33
  5. Step 5: Solve for x
    x = 1,981,681.33/1,269.14
  6. Step 6: Final answer
    x = 1,561.43

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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.