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Finding the Fourth Proportional to 8,190.92, 11,303.50 and 4,464.92

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Solution

The fourth proportional to 8,190.92, 11,303.50 and 4,464.92 is: 6,161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,190.92 : 11,303.50 = 4,464.92 : x
  2. Step 2: Convert to fraction form
    8,190.92/11,303.50 = 4,464.92/x
  3. Step 3: Cross multiply
    8,190.92x = 11,303.50 × 4,464.92
  4. Step 4: Simplify right side
    8,190.92x = 50,469,223.22
  5. Step 5: Solve for x
    x = 50,469,223.22/8,190.92
  6. Step 6: Final answer
    x = 6,161.61

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Half scale
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Double scale
Find fourth proportional to 8,191.92, 11,304.88 and 4,465.92
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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.