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Finding the Fourth Proportional to 2,258.36, 3,387.02 and 871.23

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Solution

The fourth proportional to 2,258.36, 3,387.02 and 871.23 is: 1,306.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.36 : 3,387.02 = 871.23 : x
  2. Step 2: Convert to fraction form
    2,258.36/3,387.02 = 871.23/x
  3. Step 3: Cross multiply
    2,258.36x = 3,387.02 × 871.23
  4. Step 4: Simplify right side
    2,258.36x = 2,950,875.61
  5. Step 5: Solve for x
    x = 2,950,875.61/2,258.36
  6. Step 6: Final answer
    x = 1,306.65

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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.