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Finding the Fourth Proportional to 8,309.48, 11,443.75 and 8,128.04

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Solution

The fourth proportional to 8,309.48, 11,443.75 and 8,128.04 is: 11,193.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.48 : 11,443.75 = 8,128.04 : x
  2. Step 2: Convert to fraction form
    8,309.48/11,443.75 = 8,128.04/x
  3. Step 3: Cross multiply
    8,309.48x = 11,443.75 × 8,128.04
  4. Step 4: Simplify right side
    8,309.48x = 93,015,180.21
  5. Step 5: Solve for x
    x = 93,015,180.21/8,309.48
  6. Step 6: Final answer
    x = 11,193.87

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Half scale
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Double scale
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Similar ratio
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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.