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Finding the Fourth Proportional to 10,471.87, 15,704.47 and 3,450.57

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Solution

The fourth proportional to 10,471.87, 15,704.47 and 3,450.57 is: 5,174.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.87 : 15,704.47 = 3,450.57 : x
  2. Step 2: Convert to fraction form
    10,471.87/15,704.47 = 3,450.57/x
  3. Step 3: Cross multiply
    10,471.87x = 15,704.47 × 3,450.57
  4. Step 4: Simplify right side
    10,471.87x = 54,189,457.04
  5. Step 5: Solve for x
    x = 54,189,457.04/10,471.87
  6. Step 6: Final answer
    x = 5,174.76

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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.