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Finding the Fourth Proportional to 2,689.64, 3,713.24 and 1,793.14

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Solution

The fourth proportional to 2,689.64, 3,713.24 and 1,793.14 is: 2,475.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.64 : 3,713.24 = 1,793.14 : x
  2. Step 2: Convert to fraction form
    2,689.64/3,713.24 = 1,793.14/x
  3. Step 3: Cross multiply
    2,689.64x = 3,713.24 × 1,793.14
  4. Step 4: Simplify right side
    2,689.64x = 6,658,359.17
  5. Step 5: Solve for x
    x = 6,658,359.17/2,689.64
  6. Step 6: Final answer
    x = 2,475.56

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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.