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Finding the Fourth Proportional to 21,678, 29,915.72 and 11,742

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Solution

The fourth proportional to 21,678, 29,915.72 and 11,742 is: 16,204.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,678 : 29,915.72 = 11,742 : x
  2. Step 2: Convert to fraction form
    21,678/29,915.72 = 11,742/x
  3. Step 3: Cross multiply
    21,678x = 29,915.72 × 11,742
  4. Step 4: Simplify right side
    21,678x = 351,270,384.24
  5. Step 5: Solve for x
    x = 351,270,384.24/21,678
  6. Step 6: Final answer
    x = 16,204.00

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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.