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Finding the Fourth Proportional to 2,305.41, 3,456.75 and 988.20

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Solution

The fourth proportional to 2,305.41, 3,456.75 and 988.20 is: 1,481.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.41 : 3,456.75 = 988.20 : x
  2. Step 2: Convert to fraction form
    2,305.41/3,456.75 = 988.20/x
  3. Step 3: Cross multiply
    2,305.41x = 3,456.75 × 988.20
  4. Step 4: Simplify right side
    2,305.41x = 3,415,960.35
  5. Step 5: Solve for x
    x = 3,415,960.35/2,305.41
  6. Step 6: Final answer
    x = 1,481.71

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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.