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Finding the Fourth Proportional to 2,242.27, 3,363.43 and 781.46

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Solution

The fourth proportional to 2,242.27, 3,363.43 and 781.46 is: 1,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.27 : 3,363.43 = 781.46 : x
  2. Step 2: Convert to fraction form
    2,242.27/3,363.43 = 781.46/x
  3. Step 3: Cross multiply
    2,242.27x = 3,363.43 × 781.46
  4. Step 4: Simplify right side
    2,242.27x = 2,628,386.01
  5. Step 5: Solve for x
    x = 2,628,386.01/2,242.27
  6. Step 6: Final answer
    x = 1,172.20

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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.