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Finding the Fourth Proportional to 2,489.64, 3,734.64 and 758.26

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Solution

The fourth proportional to 2,489.64, 3,734.64 and 758.26 is: 1,137.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.64 : 3,734.64 = 758.26 : x
  2. Step 2: Convert to fraction form
    2,489.64/3,734.64 = 758.26/x
  3. Step 3: Cross multiply
    2,489.64x = 3,734.64 × 758.26
  4. Step 4: Simplify right side
    2,489.64x = 2,831,828.13
  5. Step 5: Solve for x
    x = 2,831,828.13/2,489.64
  6. Step 6: Final answer
    x = 1,137.44

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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.