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Finding the Fourth Proportional to 2,159.97, 3,240 and 843.66

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Solution

The fourth proportional to 2,159.97, 3,240 and 843.66 is: 1,265.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.97 : 3,240 = 843.66 : x
  2. Step 2: Convert to fraction form
    2,159.97/3,240 = 843.66/x
  3. Step 3: Cross multiply
    2,159.97x = 3,240 × 843.66
  4. Step 4: Simplify right side
    2,159.97x = 2,733,458.40
  5. Step 5: Solve for x
    x = 2,733,458.40/2,159.97
  6. Step 6: Final answer
    x = 1,265.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.