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Finding the Fourth Proportional to 8,021.83, 11,964.39 and 7,519.49

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Solution

The fourth proportional to 8,021.83, 11,964.39 and 7,519.49 is: 11,215.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021.83 : 11,964.39 = 7,519.49 : x
  2. Step 2: Convert to fraction form
    8,021.83/11,964.39 = 7,519.49/x
  3. Step 3: Cross multiply
    8,021.83x = 11,964.39 × 7,519.49
  4. Step 4: Simplify right side
    8,021.83x = 89,966,110.96
  5. Step 5: Solve for x
    x = 89,966,110.96/8,021.83
  6. Step 6: Final answer
    x = 11,215.16

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Double 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.