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Finding the Fourth Proportional to 3,969, 5,477.40 and 2,200.49

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Solution

The fourth proportional to 3,969, 5,477.40 and 2,200.49 is: 3,036.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969 : 5,477.40 = 2,200.49 : x
  2. Step 2: Convert to fraction form
    3,969/5,477.40 = 2,200.49/x
  3. Step 3: Cross multiply
    3,969x = 5,477.40 × 2,200.49
  4. Step 4: Simplify right side
    3,969x = 12,052,963.93
  5. Step 5: Solve for x
    x = 12,052,963.93/3,969
  6. Step 6: Final answer
    x = 3,036.78

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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.