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Finding the Fourth Proportional to 1,782.11, 2,674.33 and 808.22

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Solution

The fourth proportional to 1,782.11, 2,674.33 and 808.22 is: 1,212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.11 : 2,674.33 = 808.22 : x
  2. Step 2: Convert to fraction form
    1,782.11/2,674.33 = 808.22/x
  3. Step 3: Cross multiply
    1,782.11x = 2,674.33 × 808.22
  4. Step 4: Simplify right side
    1,782.11x = 2,161,451.66
  5. Step 5: Solve for x
    x = 2,161,451.66/1,782.11
  6. Step 6: Final answer
    x = 1,212.86

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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.