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Finding the Fourth Proportional to 6,353, 8,767.14 and 3,869

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Solution

The fourth proportional to 6,353, 8,767.14 and 3,869 is: 5,339.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353 : 8,767.14 = 3,869 : x
  2. Step 2: Convert to fraction form
    6,353/8,767.14 = 3,869/x
  3. Step 3: Cross multiply
    6,353x = 8,767.14 × 3,869
  4. Step 4: Simplify right side
    6,353x = 33,920,064.66
  5. Step 5: Solve for x
    x = 33,920,064.66/6,353
  6. Step 6: Final answer
    x = 5,339.22

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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.