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Finding the Fourth Proportional to 5,223.84, 7,834.24 and 2,102.88

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Solution

The fourth proportional to 5,223.84, 7,834.24 and 2,102.88 is: 3,153.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.84 : 7,834.24 = 2,102.88 : x
  2. Step 2: Convert to fraction form
    5,223.84/7,834.24 = 2,102.88/x
  3. Step 3: Cross multiply
    5,223.84x = 7,834.24 × 2,102.88
  4. Step 4: Simplify right side
    5,223.84x = 16,474,466.61
  5. Step 5: Solve for x
    x = 16,474,466.61/5,223.84
  6. Step 6: Final answer
    x = 3,153.71

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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.