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Finding the Fourth Proportional to 8,199.86, 11,315.49 and 4,473.86

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Solution

The fourth proportional to 8,199.86, 11,315.49 and 4,473.86 is: 6,173.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.86 : 11,315.49 = 4,473.86 : x
  2. Step 2: Convert to fraction form
    8,199.86/11,315.49 = 4,473.86/x
  3. Step 3: Cross multiply
    8,199.86x = 11,315.49 × 4,473.86
  4. Step 4: Simplify right side
    8,199.86x = 50,623,918.09
  5. Step 5: Solve for x
    x = 50,623,918.09/8,199.86
  6. Step 6: Final answer
    x = 6,173.75

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1.5x scale

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.