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Finding the Fourth Proportional to 2,118.88, 3,178.67 and 732.42

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Solution

The fourth proportional to 2,118.88, 3,178.67 and 732.42 is: 1,098.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.88 : 3,178.67 = 732.42 : x
  2. Step 2: Convert to fraction form
    2,118.88/3,178.67 = 732.42/x
  3. Step 3: Cross multiply
    2,118.88x = 3,178.67 × 732.42
  4. Step 4: Simplify right side
    2,118.88x = 2,328,110.94
  5. Step 5: Solve for x
    x = 2,328,110.94/2,118.88
  6. Step 6: Final answer
    x = 1,098.74

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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.