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Finding the Fourth Proportional to 19,958.72, 29,921.84 and 7,471.76

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Solution

The fourth proportional to 19,958.72, 29,921.84 and 7,471.76 is: 11,201.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,958.72 : 29,921.84 = 7,471.76 : x
  2. Step 2: Convert to fraction form
    19,958.72/29,921.84 = 7,471.76/x
  3. Step 3: Cross multiply
    19,958.72x = 29,921.84 × 7,471.76
  4. Step 4: Simplify right side
    19,958.72x = 223,568,657.63
  5. Step 5: Solve for x
    x = 223,568,657.63/19,958.72
  6. Step 6: Final answer
    x = 11,201.55

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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.