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Finding the Fourth Proportional to 2,171.87, 3,257.81 and 528.42

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Solution

The fourth proportional to 2,171.87, 3,257.81 and 528.42 is: 792.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.87 : 3,257.81 = 528.42 : x
  2. Step 2: Convert to fraction form
    2,171.87/3,257.81 = 528.42/x
  3. Step 3: Cross multiply
    2,171.87x = 3,257.81 × 528.42
  4. Step 4: Simplify right side
    2,171.87x = 1,721,491.96
  5. Step 5: Solve for x
    x = 1,721,491.96/2,171.87
  6. Step 6: Final answer
    x = 792.63

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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.