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Finding the Fourth Proportional to 2,886.90, 3,985.25 and 1,691.73

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Solution

The fourth proportional to 2,886.90, 3,985.25 and 1,691.73 is: 2,335.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.90 : 3,985.25 = 1,691.73 : x
  2. Step 2: Convert to fraction form
    2,886.90/3,985.25 = 1,691.73/x
  3. Step 3: Cross multiply
    2,886.90x = 3,985.25 × 1,691.73
  4. Step 4: Simplify right side
    2,886.90x = 6,741,947.06
  5. Step 5: Solve for x
    x = 6,741,947.06/2,886.90
  6. Step 6: Final answer
    x = 2,335.36

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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.