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Finding the Fourth Proportional to 1,566.57, 2,161.91 and 867.95

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Solution

The fourth proportional to 1,566.57, 2,161.91 and 867.95 is: 1,197.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.57 : 2,161.91 = 867.95 : x
  2. Step 2: Convert to fraction form
    1,566.57/2,161.91 = 867.95/x
  3. Step 3: Cross multiply
    1,566.57x = 2,161.91 × 867.95
  4. Step 4: Simplify right side
    1,566.57x = 1,876,414.64
  5. Step 5: Solve for x
    x = 1,876,414.64/1,566.57
  6. Step 6: Final answer
    x = 1,197.79

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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.