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Finding the Fourth Proportional to 2,266.65, 3,398.01 and 879.03

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Solution

The fourth proportional to 2,266.65, 3,398.01 and 879.03 is: 1,317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.65 : 3,398.01 = 879.03 : x
  2. Step 2: Convert to fraction form
    2,266.65/3,398.01 = 879.03/x
  3. Step 3: Cross multiply
    2,266.65x = 3,398.01 × 879.03
  4. Step 4: Simplify right side
    2,266.65x = 2,986,952.73
  5. Step 5: Solve for x
    x = 2,986,952.73/2,266.65
  6. Step 6: Final answer
    x = 1,317.78

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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.