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Finding the Fourth Proportional to 21,193.76, 29,247.84 and 11,762

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Solution

The fourth proportional to 21,193.76, 29,247.84 and 11,762 is: 16,231.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,193.76 : 29,247.84 = 11,762 : x
  2. Step 2: Convert to fraction form
    21,193.76/29,247.84 = 11,762/x
  3. Step 3: Cross multiply
    21,193.76x = 29,247.84 × 11,762
  4. Step 4: Simplify right side
    21,193.76x = 344,013,094.08
  5. Step 5: Solve for x
    x = 344,013,094.08/21,193.76
  6. Step 6: Final answer
    x = 16,231.81

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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.