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Finding the Fourth Proportional to 3,974.40, 5,486.40 and 3,189.60

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Solution

The fourth proportional to 3,974.40, 5,486.40 and 3,189.60 is: 4,403.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.40 : 5,486.40 = 3,189.60 : x
  2. Step 2: Convert to fraction form
    3,974.40/5,486.40 = 3,189.60/x
  3. Step 3: Cross multiply
    3,974.40x = 5,486.40 × 3,189.60
  4. Step 4: Simplify right side
    3,974.40x = 17,499,421.44
  5. Step 5: Solve for x
    x = 17,499,421.44/3,974.40
  6. Step 6: Final answer
    x = 4,403.03

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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.