Home / 2,242.89-3,361.30-2,138.40

Finding the Fourth Proportional to 2,242.89, 3,361.30 and 2,138.40

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Solution

The fourth proportional to 2,242.89, 3,361.30 and 2,138.40 is: 3,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.89 : 3,361.30 = 2,138.40 : x
  2. Step 2: Convert to fraction form
    2,242.89/3,361.30 = 2,138.40/x
  3. Step 3: Cross multiply
    2,242.89x = 3,361.30 × 2,138.40
  4. Step 4: Simplify right side
    2,242.89x = 7,187,798.57
  5. Step 5: Solve for x
    x = 7,187,798.57/2,242.89
  6. Step 6: Final answer
    x = 3,204.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.