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Finding the Fourth Proportional to 2,689.52, 4,034.36 and 741.74

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Solution

The fourth proportional to 2,689.52, 4,034.36 and 741.74 is: 1,112.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.52 : 4,034.36 = 741.74 : x
  2. Step 2: Convert to fraction form
    2,689.52/4,034.36 = 741.74/x
  3. Step 3: Cross multiply
    2,689.52x = 4,034.36 × 741.74
  4. Step 4: Simplify right side
    2,689.52x = 2,992,427.87
  5. Step 5: Solve for x
    x = 2,992,427.87/2,689.52
  6. Step 6: Final answer
    x = 1,112.63

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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.