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Finding the Fourth Proportional to 1,786.34, 2,680.47 and 812.36

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Solution

The fourth proportional to 1,786.34, 2,680.47 and 812.36 is: 1,218.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.34 : 2,680.47 = 812.36 : x
  2. Step 2: Convert to fraction form
    1,786.34/2,680.47 = 812.36/x
  3. Step 3: Cross multiply
    1,786.34x = 2,680.47 × 812.36
  4. Step 4: Simplify right side
    1,786.34x = 2,177,493.21
  5. Step 5: Solve for x
    x = 2,177,493.21/1,786.34
  6. Step 6: Final answer
    x = 1,218.97

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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.