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Finding the Fourth Proportional to 10,471.57, 15,709.78 and 3,451.33

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Solution

The fourth proportional to 10,471.57, 15,709.78 and 3,451.33 is: 5,177.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.57 : 15,709.78 = 3,451.33 : x
  2. Step 2: Convert to fraction form
    10,471.57/15,709.78 = 3,451.33/x
  3. Step 3: Cross multiply
    10,471.57x = 15,709.78 × 3,451.33
  4. Step 4: Simplify right side
    10,471.57x = 54,219,635.01
  5. Step 5: Solve for x
    x = 54,219,635.01/10,471.57
  6. Step 6: Final answer
    x = 5,177.79

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