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Finding the Fourth Proportional to 7,991.82, 11,991.60 and 3,315.24

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Solution

The fourth proportional to 7,991.82, 11,991.60 and 3,315.24 is: 4,974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,991.82 : 11,991.60 = 3,315.24 : x
  2. Step 2: Convert to fraction form
    7,991.82/11,991.60 = 3,315.24/x
  3. Step 3: Cross multiply
    7,991.82x = 11,991.60 × 3,315.24
  4. Step 4: Simplify right side
    7,991.82x = 39,755,031.98
  5. Step 5: Solve for x
    x = 39,755,031.98/7,991.82
  6. Step 6: Final answer
    x = 4,974.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.