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Finding the Fourth Proportional to 9,369.12, 12,940.02 and 6,379.77

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Solution

The fourth proportional to 9,369.12, 12,940.02 and 6,379.77 is: 8,811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,369.12 : 12,940.02 = 6,379.77 : x
  2. Step 2: Convert to fraction form
    9,369.12/12,940.02 = 6,379.77/x
  3. Step 3: Cross multiply
    9,369.12x = 12,940.02 × 6,379.77
  4. Step 4: Simplify right side
    9,369.12x = 82,554,327.13
  5. Step 5: Solve for x
    x = 82,554,327.13/9,369.12
  6. Step 6: Final answer
    x = 8,811.32

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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.