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Finding the Fourth Proportional to 8,009.92, 11,940.84 and 7,883.68

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Solution

The fourth proportional to 8,009.92, 11,940.84 and 7,883.68 is: 11,752.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.92 : 11,940.84 = 7,883.68 : x
  2. Step 2: Convert to fraction form
    8,009.92/11,940.84 = 7,883.68/x
  3. Step 3: Cross multiply
    8,009.92x = 11,940.84 × 7,883.68
  4. Step 4: Simplify right side
    8,009.92x = 94,137,761.49
  5. Step 5: Solve for x
    x = 94,137,761.49/8,009.92
  6. Step 6: Final answer
    x = 11,752.65

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.