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Finding the Fourth Proportional to 3,986.73, 5,501.87 and 3,322.47

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Solution

The fourth proportional to 3,986.73, 5,501.87 and 3,322.47 is: 4,585.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.73 : 5,501.87 = 3,322.47 : x
  2. Step 2: Convert to fraction form
    3,986.73/5,501.87 = 3,322.47/x
  3. Step 3: Cross multiply
    3,986.73x = 5,501.87 × 3,322.47
  4. Step 4: Simplify right side
    3,986.73x = 18,279,781.41
  5. Step 5: Solve for x
    x = 18,279,781.41/3,986.73
  6. Step 6: Final answer
    x = 4,585.16

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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.