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Finding the Fourth Proportional to 2,684.97, 3,691.85 and 2,291.31

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Solution

The fourth proportional to 2,684.97, 3,691.85 and 2,291.31 is: 3,150.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.97 : 3,691.85 = 2,291.31 : x
  2. Step 2: Convert to fraction form
    2,684.97/3,691.85 = 2,291.31/x
  3. Step 3: Cross multiply
    2,684.97x = 3,691.85 × 2,291.31
  4. Step 4: Simplify right side
    2,684.97x = 8,459,161.37
  5. Step 5: Solve for x
    x = 8,459,161.37/2,684.97
  6. Step 6: Final answer
    x = 3,150.56

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1.5x scale

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.