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Finding the Fourth Proportional to 8,081, 12,123.20 and 2,533.92

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Solution

The fourth proportional to 8,081, 12,123.20 and 2,533.92 is: 3,801.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,081 : 12,123.20 = 2,533.92 : x
  2. Step 2: Convert to fraction form
    8,081/12,123.20 = 2,533.92/x
  3. Step 3: Cross multiply
    8,081x = 12,123.20 × 2,533.92
  4. Step 4: Simplify right side
    8,081x = 30,719,218.94
  5. Step 5: Solve for x
    x = 30,719,218.94/8,081
  6. Step 6: Final answer
    x = 3,801.41

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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.