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Finding the Fourth Proportional to 21,771, 30,044.22 and 11,835

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Solution

The fourth proportional to 21,771, 30,044.22 and 11,835 is: 16,332.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,771 : 30,044.22 = 11,835 : x
  2. Step 2: Convert to fraction form
    21,771/30,044.22 = 11,835/x
  3. Step 3: Cross multiply
    21,771x = 30,044.22 × 11,835
  4. Step 4: Simplify right side
    21,771x = 355,573,343.70
  5. Step 5: Solve for x
    x = 355,573,343.70/21,771
  6. Step 6: Final answer
    x = 16,332.43

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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.