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Finding the Fourth Proportional to 2,242.21, 3,363.32 and 781.35

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Solution

The fourth proportional to 2,242.21, 3,363.32 and 781.35 is: 1,172.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.21 : 3,363.32 = 781.35 : x
  2. Step 2: Convert to fraction form
    2,242.21/3,363.32 = 781.35/x
  3. Step 3: Cross multiply
    2,242.21x = 3,363.32 × 781.35
  4. Step 4: Simplify right side
    2,242.21x = 2,627,930.08
  5. Step 5: Solve for x
    x = 2,627,930.08/2,242.21
  6. Step 6: Final answer
    x = 1,172.03

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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.