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Finding the Fourth Proportional to 6,379, 8,803.12 and 3,860.66

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Solution

The fourth proportional to 6,379, 8,803.12 and 3,860.66 is: 5,327.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,379 : 8,803.12 = 3,860.66 : x
  2. Step 2: Convert to fraction form
    6,379/8,803.12 = 3,860.66/x
  3. Step 3: Cross multiply
    6,379x = 8,803.12 × 3,860.66
  4. Step 4: Simplify right side
    6,379x = 33,985,853.26
  5. Step 5: Solve for x
    x = 33,985,853.26/6,379
  6. Step 6: Final answer
    x = 5,327.77

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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.