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Finding the Fourth Proportional to 2,452.80, 3,678.02 and 808.71

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Solution

The fourth proportional to 2,452.80, 3,678.02 and 808.71 is: 1,212.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.80 : 3,678.02 = 808.71 : x
  2. Step 2: Convert to fraction form
    2,452.80/3,678.02 = 808.71/x
  3. Step 3: Cross multiply
    2,452.80x = 3,678.02 × 808.71
  4. Step 4: Simplify right side
    2,452.80x = 2,974,451.55
  5. Step 5: Solve for x
    x = 2,974,451.55/2,452.80
  6. Step 6: Final answer
    x = 1,212.68

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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.