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Finding the Fourth Proportional to 2,540.40, 3,809.97 and 691.42

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Solution

The fourth proportional to 2,540.40, 3,809.97 and 691.42 is: 1,036.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.40 : 3,809.97 = 691.42 : x
  2. Step 2: Convert to fraction form
    2,540.40/3,809.97 = 691.42/x
  3. Step 3: Cross multiply
    2,540.40x = 3,809.97 × 691.42
  4. Step 4: Simplify right side
    2,540.40x = 2,634,289.46
  5. Step 5: Solve for x
    x = 2,634,289.46/2,540.40
  6. Step 6: Final answer
    x = 1,036.96

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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.