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Finding the Fourth Proportional to 8,752.78, 13,125.33 and 3,204.70

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Solution

The fourth proportional to 8,752.78, 13,125.33 and 3,204.70 is: 4,805.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,752.78 : 13,125.33 = 3,204.70 : x
  2. Step 2: Convert to fraction form
    8,752.78/13,125.33 = 3,204.70/x
  3. Step 3: Cross multiply
    8,752.78x = 13,125.33 × 3,204.70
  4. Step 4: Simplify right side
    8,752.78x = 42,062,745.05
  5. Step 5: Solve for x
    x = 42,062,745.05/8,752.78
  6. Step 6: Final answer
    x = 4,805.64

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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.