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Finding the Fourth Proportional to 2,689.76, 4,034.52 and 741.92

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Solution

The fourth proportional to 2,689.76, 4,034.52 and 741.92 is: 1,112.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.76 : 4,034.52 = 741.92 : x
  2. Step 2: Convert to fraction form
    2,689.76/4,034.52 = 741.92/x
  3. Step 3: Cross multiply
    2,689.76x = 4,034.52 × 741.92
  4. Step 4: Simplify right side
    2,689.76x = 2,993,291.08
  5. Step 5: Solve for x
    x = 2,993,291.08/2,689.76
  6. Step 6: Final answer
    x = 1,112.85

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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.