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Finding the Fourth Proportional to 2,533.72, 3,801.20 and 868

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Solution

The fourth proportional to 2,533.72, 3,801.20 and 868 is: 1,302.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.72 : 3,801.20 = 868 : x
  2. Step 2: Convert to fraction form
    2,533.72/3,801.20 = 868/x
  3. Step 3: Cross multiply
    2,533.72x = 3,801.20 × 868
  4. Step 4: Simplify right side
    2,533.72x = 3,299,441.60
  5. Step 5: Solve for x
    x = 3,299,441.60/2,533.72
  6. Step 6: Final answer
    x = 1,302.21

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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.