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Finding the Fourth Proportional to 5,622.78, 7,759.36 and 3,105

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Solution

The fourth proportional to 5,622.78, 7,759.36 and 3,105 is: 4,284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,622.78 : 7,759.36 = 3,105 : x
  2. Step 2: Convert to fraction form
    5,622.78/7,759.36 = 3,105/x
  3. Step 3: Cross multiply
    5,622.78x = 7,759.36 × 3,105
  4. Step 4: Simplify right side
    5,622.78x = 24,092,816.68
  5. Step 5: Solve for x
    x = 24,092,816.68/5,622.78
  6. Step 6: Final answer
    x = 4,284.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.