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Finding the Fourth Proportional to 19,841.70, 29,749.20 and 10,471.80

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Solution

The fourth proportional to 19,841.70, 29,749.20 and 10,471.80 is: 15,700.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,841.70 : 29,749.20 = 10,471.80 : x
  2. Step 2: Convert to fraction form
    19,841.70/29,749.20 = 10,471.80/x
  3. Step 3: Cross multiply
    19,841.70x = 29,749.20 × 10,471.80
  4. Step 4: Simplify right side
    19,841.70x = 311,527,672.56
  5. Step 5: Solve for x
    x = 311,527,672.56/19,841.70
  6. Step 6: Final answer
    x = 15,700.65

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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.