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Finding the Fourth Proportional to 1,092.73, 1,509.51 and 871.39

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Solution

The fourth proportional to 1,092.73, 1,509.51 and 871.39 is: 1,203.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.73 : 1,509.51 = 871.39 : x
  2. Step 2: Convert to fraction form
    1,092.73/1,509.51 = 871.39/x
  3. Step 3: Cross multiply
    1,092.73x = 1,509.51 × 871.39
  4. Step 4: Simplify right side
    1,092.73x = 1,315,371.92
  5. Step 5: Solve for x
    x = 1,315,371.92/1,092.73
  6. Step 6: Final answer
    x = 1,203.75

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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.