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Finding the Fourth Proportional to 3,428.94, 5,143.41 and 1,375.50

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Solution

The fourth proportional to 3,428.94, 5,143.41 and 1,375.50 is: 2,063.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.94 : 5,143.41 = 1,375.50 : x
  2. Step 2: Convert to fraction form
    3,428.94/5,143.41 = 1,375.50/x
  3. Step 3: Cross multiply
    3,428.94x = 5,143.41 × 1,375.50
  4. Step 4: Simplify right side
    3,428.94x = 7,074,760.46
  5. Step 5: Solve for x
    x = 7,074,760.46/3,428.94
  6. Step 6: Final answer
    x = 2,063.25

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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.