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Finding the Fourth Proportional to 2,689.34, 3,701.16 and 2,275.11

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Solution

The fourth proportional to 2,689.34, 3,701.16 and 2,275.11 is: 3,131.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.34 : 3,701.16 = 2,275.11 : x
  2. Step 2: Convert to fraction form
    2,689.34/3,701.16 = 2,275.11/x
  3. Step 3: Cross multiply
    2,689.34x = 3,701.16 × 2,275.11
  4. Step 4: Simplify right side
    2,689.34x = 8,420,546.13
  5. Step 5: Solve for x
    x = 8,420,546.13/2,689.34
  6. Step 6: Final answer
    x = 3,131.09

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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.