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Finding the Fourth Proportional to 2,041.71, 3,062.39 and 808.80

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Solution

The fourth proportional to 2,041.71, 3,062.39 and 808.80 is: 1,213.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.71 : 3,062.39 = 808.80 : x
  2. Step 2: Convert to fraction form
    2,041.71/3,062.39 = 808.80/x
  3. Step 3: Cross multiply
    2,041.71x = 3,062.39 × 808.80
  4. Step 4: Simplify right side
    2,041.71x = 2,476,856.99
  5. Step 5: Solve for x
    x = 2,476,856.99/2,041.71
  6. Step 6: Final answer
    x = 1,213.13

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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.