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Finding the Fourth Proportional to 10,218, 15,327 and 2,922

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Solution

The fourth proportional to 10,218, 15,327 and 2,922 is: 4,383

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,218 : 15,327 = 2,922 : x
  2. Step 2: Convert to fraction form
    10,218/15,327 = 2,922/x
  3. Step 3: Cross multiply
    10,218x = 15,327 × 2,922
  4. Step 4: Simplify right side
    10,218x = 44,785,494
  5. Step 5: Solve for x
    x = 44,785,494/10,218
  6. Step 6: Final answer
    x = 4,383

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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.