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Finding the Fourth Proportional to 5,297.78, 7,944.32 and 3,107.54

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Solution

The fourth proportional to 5,297.78, 7,944.32 and 3,107.54 is: 4,659.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.78 : 7,944.32 = 3,107.54 : x
  2. Step 2: Convert to fraction form
    5,297.78/7,944.32 = 3,107.54/x
  3. Step 3: Cross multiply
    5,297.78x = 7,944.32 × 3,107.54
  4. Step 4: Simplify right side
    5,297.78x = 24,687,292.17
  5. Step 5: Solve for x
    x = 24,687,292.17/5,297.78
  6. Step 6: Final answer
    x = 4,659.93

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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.