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Finding the Fourth Proportional to 2,242.27, 3,361.48 and 781.23

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Solution

The fourth proportional to 2,242.27, 3,361.48 and 781.23 is: 1,171.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.27 : 3,361.48 = 781.23 : x
  2. Step 2: Convert to fraction form
    2,242.27/3,361.48 = 781.23/x
  3. Step 3: Cross multiply
    2,242.27x = 3,361.48 × 781.23
  4. Step 4: Simplify right side
    2,242.27x = 2,626,089.02
  5. Step 5: Solve for x
    x = 2,626,089.02/2,242.27
  6. Step 6: Final answer
    x = 1,171.17

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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.