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Finding the Fourth Proportional to 2,231.21, 3,347.36 and 671.21

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Solution

The fourth proportional to 2,231.21, 3,347.36 and 671.21 is: 1,006.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.21 : 3,347.36 = 671.21 : x
  2. Step 2: Convert to fraction form
    2,231.21/3,347.36 = 671.21/x
  3. Step 3: Cross multiply
    2,231.21x = 3,347.36 × 671.21
  4. Step 4: Simplify right side
    2,231.21x = 2,246,761.41
  5. Step 5: Solve for x
    x = 2,246,761.41/2,231.21
  6. Step 6: Final answer
    x = 1,006.97

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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.