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Finding the Fourth Proportional to 2,489.78, 3,735.08 and 758

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Solution

The fourth proportional to 2,489.78, 3,735.08 and 758 is: 1,137.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.78 : 3,735.08 = 758 : x
  2. Step 2: Convert to fraction form
    2,489.78/3,735.08 = 758/x
  3. Step 3: Cross multiply
    2,489.78x = 3,735.08 × 758
  4. Step 4: Simplify right side
    2,489.78x = 2,831,190.64
  5. Step 5: Solve for x
    x = 2,831,190.64/2,489.78
  6. Step 6: Final answer
    x = 1,137.12

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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.