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Finding the Fourth Proportional to 3,613.88, 4,986.66 and 2,197.86

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Solution

The fourth proportional to 3,613.88, 4,986.66 and 2,197.86 is: 3,032.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.88 : 4,986.66 = 2,197.86 : x
  2. Step 2: Convert to fraction form
    3,613.88/4,986.66 = 2,197.86/x
  3. Step 3: Cross multiply
    3,613.88x = 4,986.66 × 2,197.86
  4. Step 4: Simplify right side
    3,613.88x = 10,959,980.55
  5. Step 5: Solve for x
    x = 10,959,980.55/3,613.88
  6. Step 6: Final answer
    x = 3,032.75

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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.