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Finding the Fourth Proportional to 8,286.02, 12,422 and 3,602.50

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Solution

The fourth proportional to 8,286.02, 12,422 and 3,602.50 is: 5,400.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.02 : 12,422 = 3,602.50 : x
  2. Step 2: Convert to fraction form
    8,286.02/12,422 = 3,602.50/x
  3. Step 3: Cross multiply
    8,286.02x = 12,422 × 3,602.50
  4. Step 4: Simplify right side
    8,286.02x = 44,750,255
  5. Step 5: Solve for x
    x = 44,750,255/8,286.02
  6. Step 6: Final answer
    x = 5,400.69

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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.