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Finding the Fourth Proportional to 21,981, 30,333.78 and 12,045

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Solution

The fourth proportional to 21,981, 30,333.78 and 12,045 is: 16,622.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,981 : 30,333.78 = 12,045 : x
  2. Step 2: Convert to fraction form
    21,981/30,333.78 = 12,045/x
  3. Step 3: Cross multiply
    21,981x = 30,333.78 × 12,045
  4. Step 4: Simplify right side
    21,981x = 365,370,380.10
  5. Step 5: Solve for x
    x = 365,370,380.10/21,981
  6. Step 6: Final answer
    x = 16,622.10

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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.