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Finding the Fourth Proportional to 21,197.70, 29,251.62 and 11,765.70

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Solution

The fourth proportional to 21,197.70, 29,251.62 and 11,765.70 is: 16,236.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,197.70 : 29,251.62 = 11,765.70 : x
  2. Step 2: Convert to fraction form
    21,197.70/29,251.62 = 11,765.70/x
  3. Step 3: Cross multiply
    21,197.70x = 29,251.62 × 11,765.70
  4. Step 4: Simplify right side
    21,197.70x = 344,165,785.43
  5. Step 5: Solve for x
    x = 344,165,785.43/21,197.70
  6. Step 6: Final answer
    x = 16,236.00

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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.