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Finding the Fourth Proportional to 19,301.31, 28,944.68 and 8,213.22

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Solution

The fourth proportional to 19,301.31, 28,944.68 and 8,213.22 is: 12,316.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,301.31 : 28,944.68 = 8,213.22 : x
  2. Step 2: Convert to fraction form
    19,301.31/28,944.68 = 8,213.22/x
  3. Step 3: Cross multiply
    19,301.31x = 28,944.68 × 8,213.22
  4. Step 4: Simplify right side
    19,301.31x = 237,728,983.60
  5. Step 5: Solve for x
    x = 237,728,983.60/19,301.31
  6. Step 6: Final answer
    x = 12,316.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.