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Finding the Fourth Proportional to 6,224.20, 8,590.86 and 3,868.12

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Solution

The fourth proportional to 6,224.20, 8,590.86 and 3,868.12 is: 5,338.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.20 : 8,590.86 = 3,868.12 : x
  2. Step 2: Convert to fraction form
    6,224.20/8,590.86 = 3,868.12/x
  3. Step 3: Cross multiply
    6,224.20x = 8,590.86 × 3,868.12
  4. Step 4: Simplify right side
    6,224.20x = 33,230,477.38
  5. Step 5: Solve for x
    x = 33,230,477.38/6,224.20
  6. Step 6: Final answer
    x = 5,338.92

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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.