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Finding the Fourth Proportional to 2,451.80, 3,677.82 and 808.49

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Solution

The fourth proportional to 2,451.80, 3,677.82 and 808.49 is: 1,212.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.80 : 3,677.82 = 808.49 : x
  2. Step 2: Convert to fraction form
    2,451.80/3,677.82 = 808.49/x
  3. Step 3: Cross multiply
    2,451.80x = 3,677.82 × 808.49
  4. Step 4: Simplify right side
    2,451.80x = 2,973,480.69
  5. Step 5: Solve for x
    x = 2,973,480.69/2,451.80
  6. Step 6: Final answer
    x = 1,212.77

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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.