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Finding the Fourth Proportional to 2,452.05, 3,678.19 and 808.74

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Solution

The fourth proportional to 2,452.05, 3,678.19 and 808.74 is: 1,213.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.05 : 3,678.19 = 808.74 : x
  2. Step 2: Convert to fraction form
    2,452.05/3,678.19 = 808.74/x
  3. Step 3: Cross multiply
    2,452.05x = 3,678.19 × 808.74
  4. Step 4: Simplify right side
    2,452.05x = 2,974,697.36
  5. Step 5: Solve for x
    x = 2,974,697.36/2,452.05
  6. Step 6: Final answer
    x = 1,213.15

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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.