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Finding the Fourth Proportional to 2,689.88, 4,034.76 and 1,047.57

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Solution

The fourth proportional to 2,689.88, 4,034.76 and 1,047.57 is: 1,571.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.88 : 4,034.76 = 1,047.57 : x
  2. Step 2: Convert to fraction form
    2,689.88/4,034.76 = 1,047.57/x
  3. Step 3: Cross multiply
    2,689.88x = 4,034.76 × 1,047.57
  4. Step 4: Simplify right side
    2,689.88x = 4,226,693.53
  5. Step 5: Solve for x
    x = 4,226,693.53/2,689.88
  6. Step 6: Final answer
    x = 1,571.33

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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.