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Finding the Fourth Proportional to 3,866.61, 5,335.77 and 2,098.15

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Solution

The fourth proportional to 3,866.61, 5,335.77 and 2,098.15 is: 2,895.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.61 : 5,335.77 = 2,098.15 : x
  2. Step 2: Convert to fraction form
    3,866.61/5,335.77 = 2,098.15/x
  3. Step 3: Cross multiply
    3,866.61x = 5,335.77 × 2,098.15
  4. Step 4: Simplify right side
    3,866.61x = 11,195,245.83
  5. Step 5: Solve for x
    x = 11,195,245.83/3,866.61
  6. Step 6: Final answer
    x = 2,895.36

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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.