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Finding the Fourth Proportional to 2,608.13, 3,911.60 and 758.84

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Solution

The fourth proportional to 2,608.13, 3,911.60 and 758.84 is: 1,138.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.13 : 3,911.60 = 758.84 : x
  2. Step 2: Convert to fraction form
    2,608.13/3,911.60 = 758.84/x
  3. Step 3: Cross multiply
    2,608.13x = 3,911.60 × 758.84
  4. Step 4: Simplify right side
    2,608.13x = 2,968,255.19
  5. Step 5: Solve for x
    x = 2,968,255.19/2,608.13
  6. Step 6: Final answer
    x = 1,138.08

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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.