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Finding the Fourth Proportional to 5,622, 7,758.36 and 3,138

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Solution

The fourth proportional to 5,622, 7,758.36 and 3,138 is: 4,330.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,622 : 7,758.36 = 3,138 : x
  2. Step 2: Convert to fraction form
    5,622/7,758.36 = 3,138/x
  3. Step 3: Cross multiply
    5,622x = 7,758.36 × 3,138
  4. Step 4: Simplify right side
    5,622x = 24,345,733.68
  5. Step 5: Solve for x
    x = 24,345,733.68/5,622
  6. Step 6: Final answer
    x = 4,330.44

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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.