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Finding the Fourth Proportional to 8,169.64, 11,276.67 and 4,812.22

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Solution

The fourth proportional to 8,169.64, 11,276.67 and 4,812.22 is: 6,642.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,169.64 : 11,276.67 = 4,812.22 : x
  2. Step 2: Convert to fraction form
    8,169.64/11,276.67 = 4,812.22/x
  3. Step 3: Cross multiply
    8,169.64x = 11,276.67 × 4,812.22
  4. Step 4: Simplify right side
    8,169.64x = 54,265,816.91
  5. Step 5: Solve for x
    x = 54,265,816.91/8,169.64
  6. Step 6: Final answer
    x = 6,642.38

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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.