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Finding the Fourth Proportional to 2,231.54, 3,347.30 and 1,745

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Solution

The fourth proportional to 2,231.54, 3,347.30 and 1,745 is: 2,617.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.54 : 3,347.30 = 1,745 : x
  2. Step 2: Convert to fraction form
    2,231.54/3,347.30 = 1,745/x
  3. Step 3: Cross multiply
    2,231.54x = 3,347.30 × 1,745
  4. Step 4: Simplify right side
    2,231.54x = 5,841,029.78
  5. Step 5: Solve for x
    x = 5,841,029.78/2,231.54
  6. Step 6: Final answer
    x = 2,617.49

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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.