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Finding the Fourth Proportional to 8,164.86, 11,278.88 and 7,861.42

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Solution

The fourth proportional to 8,164.86, 11,278.88 and 7,861.42 is: 10,859.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.86 : 11,278.88 = 7,861.42 : x
  2. Step 2: Convert to fraction form
    8,164.86/11,278.88 = 7,861.42/x
  3. Step 3: Cross multiply
    8,164.86x = 11,278.88 × 7,861.42
  4. Step 4: Simplify right side
    8,164.86x = 88,668,012.81
  5. Step 5: Solve for x
    x = 88,668,012.81/8,164.86
  6. Step 6: Final answer
    x = 10,859.71

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Half scale
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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.