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Finding the Fourth Proportional to 2,102.44, 3,152.44 and 868.44

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Solution

The fourth proportional to 2,102.44, 3,152.44 and 868.44 is: 1,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.44 : 3,152.44 = 868.44 : x
  2. Step 2: Convert to fraction form
    2,102.44/3,152.44 = 868.44/x
  3. Step 3: Cross multiply
    2,102.44x = 3,152.44 × 868.44
  4. Step 4: Simplify right side
    2,102.44x = 2,737,704.99
  5. Step 5: Solve for x
    x = 2,737,704.99/2,102.44
  6. Step 6: Final answer
    x = 1,302.16

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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.