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Finding the Fourth Proportional to 8,253.84, 12,380.52 and 2,097.84

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Solution

The fourth proportional to 8,253.84, 12,380.52 and 2,097.84 is: 3,146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253.84 : 12,380.52 = 2,097.84 : x
  2. Step 2: Convert to fraction form
    8,253.84/12,380.52 = 2,097.84/x
  3. Step 3: Cross multiply
    8,253.84x = 12,380.52 × 2,097.84
  4. Step 4: Simplify right side
    8,253.84x = 25,972,350.08
  5. Step 5: Solve for x
    x = 25,972,350.08/8,253.84
  6. Step 6: Final answer
    x = 3,146.70

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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.