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Finding the Fourth Proportional to 2,689.41, 4,034.02 and 741.57

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Solution

The fourth proportional to 2,689.41, 4,034.02 and 741.57 is: 1,112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.41 : 4,034.02 = 741.57 : x
  2. Step 2: Convert to fraction form
    2,689.41/4,034.02 = 741.57/x
  3. Step 3: Cross multiply
    2,689.41x = 4,034.02 × 741.57
  4. Step 4: Simplify right side
    2,689.41x = 2,991,492.62
  5. Step 5: Solve for x
    x = 2,991,492.62/2,689.41
  6. Step 6: Final answer
    x = 1,112.32

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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.