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Finding the Fourth Proportional to 2,452.89, 3,678.54 and 809.08

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Solution

The fourth proportional to 2,452.89, 3,678.54 and 809.08 is: 1,213.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.89 : 3,678.54 = 809.08 : x
  2. Step 2: Convert to fraction form
    2,452.89/3,678.54 = 809.08/x
  3. Step 3: Cross multiply
    2,452.89x = 3,678.54 × 809.08
  4. Step 4: Simplify right side
    2,452.89x = 2,976,233.14
  5. Step 5: Solve for x
    x = 2,976,233.14/2,452.89
  6. Step 6: Final answer
    x = 1,213.36

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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.