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Finding the Fourth Proportional to 2,605.92, 3,909.06 and 757.05

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Solution

The fourth proportional to 2,605.92, 3,909.06 and 757.05 is: 1,135.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.92 : 3,909.06 = 757.05 : x
  2. Step 2: Convert to fraction form
    2,605.92/3,909.06 = 757.05/x
  3. Step 3: Cross multiply
    2,605.92x = 3,909.06 × 757.05
  4. Step 4: Simplify right side
    2,605.92x = 2,959,353.87
  5. Step 5: Solve for x
    x = 2,959,353.87/2,605.92
  6. Step 6: Final answer
    x = 1,135.63

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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.