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Finding the Fourth Proportional to 3,474.94, 5,212.41 and 1,424.38

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Solution

The fourth proportional to 3,474.94, 5,212.41 and 1,424.38 is: 2,136.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.94 : 5,212.41 = 1,424.38 : x
  2. Step 2: Convert to fraction form
    3,474.94/5,212.41 = 1,424.38/x
  3. Step 3: Cross multiply
    3,474.94x = 5,212.41 × 1,424.38
  4. Step 4: Simplify right side
    3,474.94x = 7,424,452.56
  5. Step 5: Solve for x
    x = 7,424,452.56/3,474.94
  6. Step 6: Final answer
    x = 2,136.57

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1.5x scale

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.