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Finding the Fourth Proportional to 21,960, 30,304.80 and 12,024

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Solution

The fourth proportional to 21,960, 30,304.80 and 12,024 is: 16,593.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,960 : 30,304.80 = 12,024 : x
  2. Step 2: Convert to fraction form
    21,960/30,304.80 = 12,024/x
  3. Step 3: Cross multiply
    21,960x = 30,304.80 × 12,024
  4. Step 4: Simplify right side
    21,960x = 364,384,915.20
  5. Step 5: Solve for x
    x = 364,384,915.20/21,960
  6. Step 6: Final answer
    x = 16,593.12

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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.