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Finding the Fourth Proportional to 3,971.60, 5,481.13 and 2,203.16

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Solution

The fourth proportional to 3,971.60, 5,481.13 and 2,203.16 is: 3,040.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.60 : 5,481.13 = 2,203.16 : x
  2. Step 2: Convert to fraction form
    3,971.60/5,481.13 = 2,203.16/x
  3. Step 3: Cross multiply
    3,971.60x = 5,481.13 × 2,203.16
  4. Step 4: Simplify right side
    3,971.60x = 12,075,814.57
  5. Step 5: Solve for x
    x = 12,075,814.57/3,971.60
  6. Step 6: Final answer
    x = 3,040.55

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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.