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Finding the Fourth Proportional to 8,251.28, 12,376.80 and 2,011.28

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Solution

The fourth proportional to 8,251.28, 12,376.80 and 2,011.28 is: 3,016.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.28 : 12,376.80 = 2,011.28 : x
  2. Step 2: Convert to fraction form
    8,251.28/12,376.80 = 2,011.28/x
  3. Step 3: Cross multiply
    8,251.28x = 12,376.80 × 2,011.28
  4. Step 4: Simplify right side
    8,251.28x = 24,893,210.30
  5. Step 5: Solve for x
    x = 24,893,210.30/8,251.28
  6. Step 6: Final answer
    x = 3,016.89

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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.