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Finding the Fourth Proportional to 2,231.66, 3,347.71 and 826.45

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Solution

The fourth proportional to 2,231.66, 3,347.71 and 826.45 is: 1,239.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.66 : 3,347.71 = 826.45 : x
  2. Step 2: Convert to fraction form
    2,231.66/3,347.71 = 826.45/x
  3. Step 3: Cross multiply
    2,231.66x = 3,347.71 × 826.45
  4. Step 4: Simplify right side
    2,231.66x = 2,766,717.43
  5. Step 5: Solve for x
    x = 2,766,717.43/2,231.66
  6. Step 6: Final answer
    x = 1,239.76

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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.