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Finding the Fourth Proportional to 2,689.51, 3,711.67 and 1,791.69

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Solution

The fourth proportional to 2,689.51, 3,711.67 and 1,791.69 is: 2,472.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.51 : 3,711.67 = 1,791.69 : x
  2. Step 2: Convert to fraction form
    2,689.51/3,711.67 = 1,791.69/x
  3. Step 3: Cross multiply
    2,689.51x = 3,711.67 × 1,791.69
  4. Step 4: Simplify right side
    2,689.51x = 6,650,143.46
  5. Step 5: Solve for x
    x = 6,650,143.46/2,689.51
  6. Step 6: Final answer
    x = 2,472.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.