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Finding the Fourth Proportional to 8,267, 12,402.30 and 3,650

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Solution

The fourth proportional to 8,267, 12,402.30 and 3,650 is: 5,475.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267 : 12,402.30 = 3,650 : x
  2. Step 2: Convert to fraction form
    8,267/12,402.30 = 3,650/x
  3. Step 3: Cross multiply
    8,267x = 12,402.30 × 3,650
  4. Step 4: Simplify right side
    8,267x = 45,268,395
  5. Step 5: Solve for x
    x = 45,268,395/8,267
  6. Step 6: Final answer
    x = 5,475.79

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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.