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Finding the Fourth Proportional to 2,305.44, 3,181.50 and 1,257.50

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Solution

The fourth proportional to 2,305.44, 3,181.50 and 1,257.50 is: 1,735.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.44 : 3,181.50 = 1,257.50 : x
  2. Step 2: Convert to fraction form
    2,305.44/3,181.50 = 1,257.50/x
  3. Step 3: Cross multiply
    2,305.44x = 3,181.50 × 1,257.50
  4. Step 4: Simplify right side
    2,305.44x = 4,000,736.25
  5. Step 5: Solve for x
    x = 4,000,736.25/2,305.44
  6. Step 6: Final answer
    x = 1,735.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.