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Finding the Fourth Proportional to 1,680.85, 2,502.41 and 1,672.75

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Solution

The fourth proportional to 1,680.85, 2,502.41 and 1,672.75 is: 2,490.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.85 : 2,502.41 = 1,672.75 : x
  2. Step 2: Convert to fraction form
    1,680.85/2,502.41 = 1,672.75/x
  3. Step 3: Cross multiply
    1,680.85x = 2,502.41 × 1,672.75
  4. Step 4: Simplify right side
    1,680.85x = 4,185,906.33
  5. Step 5: Solve for x
    x = 4,185,906.33/1,680.85
  6. Step 6: Final answer
    x = 2,490.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.