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Finding the Fourth Proportional to 2,881.62, 3,976.02 and 1,686.33

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Solution

The fourth proportional to 2,881.62, 3,976.02 and 1,686.33 is: 2,326.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.62 : 3,976.02 = 1,686.33 : x
  2. Step 2: Convert to fraction form
    2,881.62/3,976.02 = 1,686.33/x
  3. Step 3: Cross multiply
    2,881.62x = 3,976.02 × 1,686.33
  4. Step 4: Simplify right side
    2,881.62x = 6,704,881.81
  5. Step 5: Solve for x
    x = 6,704,881.81/2,881.62
  6. Step 6: Final answer
    x = 2,326.78

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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.