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Finding the Fourth Proportional to 2,515.92, 3,772.92 and 1,199.44

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Solution

The fourth proportional to 2,515.92, 3,772.92 and 1,199.44 is: 1,798.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,515.92 : 3,772.92 = 1,199.44 : x
  2. Step 2: Convert to fraction form
    2,515.92/3,772.92 = 1,199.44/x
  3. Step 3: Cross multiply
    2,515.92x = 3,772.92 × 1,199.44
  4. Step 4: Simplify right side
    2,515.92x = 4,525,391.16
  5. Step 5: Solve for x
    x = 4,525,391.16/2,515.92
  6. Step 6: Final answer
    x = 1,798.70

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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.