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Finding the Fourth Proportional to 22,218, 30,661.16 and 12,282

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Solution

The fourth proportional to 22,218, 30,661.16 and 12,282 is: 16,949.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,218 : 30,661.16 = 12,282 : x
  2. Step 2: Convert to fraction form
    22,218/30,661.16 = 12,282/x
  3. Step 3: Cross multiply
    22,218x = 30,661.16 × 12,282
  4. Step 4: Simplify right side
    22,218x = 376,580,367.12
  5. Step 5: Solve for x
    x = 376,580,367.12/22,218
  6. Step 6: Final answer
    x = 16,949.34

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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.