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Finding the Fourth Proportional to 8,021.84, 11,964.38 and 7,519.48

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Solution

The fourth proportional to 8,021.84, 11,964.38 and 7,519.48 is: 11,215.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021.84 : 11,964.38 = 7,519.48 : x
  2. Step 2: Convert to fraction form
    8,021.84/11,964.38 = 7,519.48/x
  3. Step 3: Cross multiply
    8,021.84x = 11,964.38 × 7,519.48
  4. Step 4: Simplify right side
    8,021.84x = 89,965,916.12
  5. Step 5: Solve for x
    x = 89,965,916.12/8,021.84
  6. Step 6: Final answer
    x = 11,215.12

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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.