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Finding the Fourth Proportional to 21,767, 30,038.48 and 11,831

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Solution

The fourth proportional to 21,767, 30,038.48 and 11,831 is: 16,326.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,767 : 30,038.48 = 11,831 : x
  2. Step 2: Convert to fraction form
    21,767/30,038.48 = 11,831/x
  3. Step 3: Cross multiply
    21,767x = 30,038.48 × 11,831
  4. Step 4: Simplify right side
    21,767x = 355,385,256.88
  5. Step 5: Solve for x
    x = 355,385,256.88/21,767
  6. Step 6: Final answer
    x = 16,326.79

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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.