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Finding the Fourth Proportional to 2,242.90, 3,362.58 and 908.56

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Solution

The fourth proportional to 2,242.90, 3,362.58 and 908.56 is: 1,362.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.90 : 3,362.58 = 908.56 : x
  2. Step 2: Convert to fraction form
    2,242.90/3,362.58 = 908.56/x
  3. Step 3: Cross multiply
    2,242.90x = 3,362.58 × 908.56
  4. Step 4: Simplify right side
    2,242.90x = 3,055,105.68
  5. Step 5: Solve for x
    x = 3,055,105.68/2,242.90
  6. Step 6: Final answer
    x = 1,362.12

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1.5x scale

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.