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Finding the Fourth Proportional to 8,282, 12,405.56 and 5,163.52

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Solution

The fourth proportional to 8,282, 12,405.56 and 5,163.52 is: 7,734.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282 : 12,405.56 = 5,163.52 : x
  2. Step 2: Convert to fraction form
    8,282/12,405.56 = 5,163.52/x
  3. Step 3: Cross multiply
    8,282x = 12,405.56 × 5,163.52
  4. Step 4: Simplify right side
    8,282x = 64,056,357.17
  5. Step 5: Solve for x
    x = 64,056,357.17/8,282
  6. Step 6: Final answer
    x = 7,734.41

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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.