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Finding the Fourth Proportional to 7,999.50, 11,021.82 and 5,974.50

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Solution

The fourth proportional to 7,999.50, 11,021.82 and 5,974.50 is: 8,231.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,999.50 : 11,021.82 = 5,974.50 : x
  2. Step 2: Convert to fraction form
    7,999.50/11,021.82 = 5,974.50/x
  3. Step 3: Cross multiply
    7,999.50x = 11,021.82 × 5,974.50
  4. Step 4: Simplify right side
    7,999.50x = 65,849,863.59
  5. Step 5: Solve for x
    x = 65,849,863.59/7,999.50
  6. Step 6: Final answer
    x = 8,231.75

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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.