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Finding the Fourth Proportional to 3,474.81, 5,211 and 2,089.71

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Solution

The fourth proportional to 3,474.81, 5,211 and 2,089.71 is: 3,133.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.81 : 5,211 = 2,089.71 : x
  2. Step 2: Convert to fraction form
    3,474.81/5,211 = 2,089.71/x
  3. Step 3: Cross multiply
    3,474.81x = 5,211 × 2,089.71
  4. Step 4: Simplify right side
    3,474.81x = 10,889,478.81
  5. Step 5: Solve for x
    x = 10,889,478.81/3,474.81
  6. Step 6: Final answer
    x = 3,133.83

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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.