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Finding the Fourth Proportional to 2,231.28, 3,346.93 and 671.29

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Solution

The fourth proportional to 2,231.28, 3,346.93 and 671.29 is: 1,006.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.28 : 3,346.93 = 671.29 : x
  2. Step 2: Convert to fraction form
    2,231.28/3,346.93 = 671.29/x
  3. Step 3: Cross multiply
    2,231.28x = 3,346.93 × 671.29
  4. Step 4: Simplify right side
    2,231.28x = 2,246,751.22
  5. Step 5: Solve for x
    x = 2,246,751.22/2,231.28
  6. Step 6: Final answer
    x = 1,006.93

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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.