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Finding the Fourth Proportional to 8,048.80, 12,076.80 and 3,887.20

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Solution

The fourth proportional to 8,048.80, 12,076.80 and 3,887.20 is: 5,832.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.80 : 12,076.80 = 3,887.20 : x
  2. Step 2: Convert to fraction form
    8,048.80/12,076.80 = 3,887.20/x
  3. Step 3: Cross multiply
    8,048.80x = 12,076.80 × 3,887.20
  4. Step 4: Simplify right side
    8,048.80x = 46,944,936.96
  5. Step 5: Solve for x
    x = 46,944,936.96/8,048.80
  6. Step 6: Final answer
    x = 5,832.54

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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.