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Finding the Fourth Proportional to 8,760, 13,141.92 and 3,288

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Solution

The fourth proportional to 8,760, 13,141.92 and 3,288 is: 4,932.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,760 : 13,141.92 = 3,288 : x
  2. Step 2: Convert to fraction form
    8,760/13,141.92 = 3,288/x
  3. Step 3: Cross multiply
    8,760x = 13,141.92 × 3,288
  4. Step 4: Simplify right side
    8,760x = 43,210,632.96
  5. Step 5: Solve for x
    x = 43,210,632.96/8,760
  6. Step 6: Final answer
    x = 4,932.72

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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.