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Finding the Fourth Proportional to 12,387.86, 18,550.04 and 6,835.01

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Solution

The fourth proportional to 12,387.86, 18,550.04 and 6,835.01 is: 10,234.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,387.86 : 18,550.04 = 6,835.01 : x
  2. Step 2: Convert to fraction form
    12,387.86/18,550.04 = 6,835.01/x
  3. Step 3: Cross multiply
    12,387.86x = 18,550.04 × 6,835.01
  4. Step 4: Simplify right side
    12,387.86x = 126,789,581.98
  5. Step 5: Solve for x
    x = 126,789,581.98/12,387.86
  6. Step 6: Final answer
    x = 10,234.99

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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.