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Finding the Fourth Proportional to 5,771, 8,660.34 and 2,123

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Solution

The fourth proportional to 5,771, 8,660.34 and 2,123 is: 3,185.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771 : 8,660.34 = 2,123 : x
  2. Step 2: Convert to fraction form
    5,771/8,660.34 = 2,123/x
  3. Step 3: Cross multiply
    5,771x = 8,660.34 × 2,123
  4. Step 4: Simplify right side
    5,771x = 18,385,901.82
  5. Step 5: Solve for x
    x = 18,385,901.82/5,771
  6. Step 6: Final answer
    x = 3,185.91

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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.