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Finding the Fourth Proportional to 8,110.56, 12,191.76 and 6,814.56

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Solution

The fourth proportional to 8,110.56, 12,191.76 and 6,814.56 is: 10,243.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110.56 : 12,191.76 = 6,814.56 : x
  2. Step 2: Convert to fraction form
    8,110.56/12,191.76 = 6,814.56/x
  3. Step 3: Cross multiply
    8,110.56x = 12,191.76 × 6,814.56
  4. Step 4: Simplify right side
    8,110.56x = 83,081,480.03
  5. Step 5: Solve for x
    x = 83,081,480.03/8,110.56
  6. Step 6: Final answer
    x = 10,243.62

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1.5x scale

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.