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Finding the Fourth Proportional to 8,239.86, 12,331.07 and 6,741.77

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Solution

The fourth proportional to 8,239.86, 12,331.07 and 6,741.77 is: 10,089.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.86 : 12,331.07 = 6,741.77 : x
  2. Step 2: Convert to fraction form
    8,239.86/12,331.07 = 6,741.77/x
  3. Step 3: Cross multiply
    8,239.86x = 12,331.07 × 6,741.77
  4. Step 4: Simplify right side
    8,239.86x = 83,133,142.43
  5. Step 5: Solve for x
    x = 83,133,142.43/8,239.86
  6. Step 6: Final answer
    x = 10,089.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.