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Finding the Fourth Proportional to 8,528.66, 11,684.33 and 8,209.07

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Solution

The fourth proportional to 8,528.66, 11,684.33 and 8,209.07 is: 11,246.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,528.66 : 11,684.33 = 8,209.07 : x
  2. Step 2: Convert to fraction form
    8,528.66/11,684.33 = 8,209.07/x
  3. Step 3: Cross multiply
    8,528.66x = 11,684.33 × 8,209.07
  4. Step 4: Simplify right side
    8,528.66x = 95,917,383.41
  5. Step 5: Solve for x
    x = 95,917,383.41/8,528.66
  6. Step 6: Final answer
    x = 11,246.48

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.