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Finding the Fourth Proportional to 2,689.80, 4,034.08 and 958.42

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Solution

The fourth proportional to 2,689.80, 4,034.08 and 958.42 is: 1,437.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.80 : 4,034.08 = 958.42 : x
  2. Step 2: Convert to fraction form
    2,689.80/4,034.08 = 958.42/x
  3. Step 3: Cross multiply
    2,689.80x = 4,034.08 × 958.42
  4. Step 4: Simplify right side
    2,689.80x = 3,866,342.95
  5. Step 5: Solve for x
    x = 3,866,342.95/2,689.80
  6. Step 6: Final answer
    x = 1,437.41

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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.