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Finding the Fourth Proportional to 16,222, 22,389.62 and 9,148.56

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Solution

The fourth proportional to 16,222, 22,389.62 and 9,148.56 is: 12,626.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222 : 22,389.62 = 9,148.56 : x
  2. Step 2: Convert to fraction form
    16,222/22,389.62 = 9,148.56/x
  3. Step 3: Cross multiply
    16,222x = 22,389.62 × 9,148.56
  4. Step 4: Simplify right side
    16,222x = 204,832,781.95
  5. Step 5: Solve for x
    x = 204,832,781.95/16,222
  6. Step 6: Final answer
    x = 12,626.85

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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.