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Finding the Fourth Proportional to 3,690, 5,092.14 and 2,197.89

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Solution

The fourth proportional to 3,690, 5,092.14 and 2,197.89 is: 3,033.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690 : 5,092.14 = 2,197.89 : x
  2. Step 2: Convert to fraction form
    3,690/5,092.14 = 2,197.89/x
  3. Step 3: Cross multiply
    3,690x = 5,092.14 × 2,197.89
  4. Step 4: Simplify right side
    3,690x = 11,191,963.58
  5. Step 5: Solve for x
    x = 11,191,963.58/3,690
  6. Step 6: Final answer
    x = 3,033.05

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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.