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Finding the Fourth Proportional to 6,367.87, 8,786.64 and 4,013.20

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Solution

The fourth proportional to 6,367.87, 8,786.64 and 4,013.20 is: 5,537.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.87 : 8,786.64 = 4,013.20 : x
  2. Step 2: Convert to fraction form
    6,367.87/8,786.64 = 4,013.20/x
  3. Step 3: Cross multiply
    6,367.87x = 8,786.64 × 4,013.20
  4. Step 4: Simplify right side
    6,367.87x = 35,262,543.65
  5. Step 5: Solve for x
    x = 35,262,543.65/6,367.87
  6. Step 6: Final answer
    x = 5,537.57

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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.