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Finding the Fourth Proportional to 22,327, 30,811.26 and 12,391

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Solution

The fourth proportional to 22,327, 30,811.26 and 12,391 is: 17,099.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,327 : 30,811.26 = 12,391 : x
  2. Step 2: Convert to fraction form
    22,327/30,811.26 = 12,391/x
  3. Step 3: Cross multiply
    22,327x = 30,811.26 × 12,391
  4. Step 4: Simplify right side
    22,327x = 381,782,322.66
  5. Step 5: Solve for x
    x = 381,782,322.66/22,327
  6. Step 6: Final answer
    x = 17,099.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.