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Finding the Fourth Proportional to 5,186, 7,782.24 and 2,108

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Solution

The fourth proportional to 5,186, 7,782.24 and 2,108 is: 3,163.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186 : 7,782.24 = 2,108 : x
  2. Step 2: Convert to fraction form
    5,186/7,782.24 = 2,108/x
  3. Step 3: Cross multiply
    5,186x = 7,782.24 × 2,108
  4. Step 4: Simplify right side
    5,186x = 16,404,961.92
  5. Step 5: Solve for x
    x = 16,404,961.92/5,186
  6. Step 6: Final answer
    x = 3,163.32

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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.