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Finding the Fourth Proportional to 21,853.99, 32,777.74 and 7,999.75

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Solution

The fourth proportional to 21,853.99, 32,777.74 and 7,999.75 is: 11,998.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,853.99 : 32,777.74 = 7,999.75 : x
  2. Step 2: Convert to fraction form
    21,853.99/32,777.74 = 7,999.75/x
  3. Step 3: Cross multiply
    21,853.99x = 32,777.74 × 7,999.75
  4. Step 4: Simplify right side
    21,853.99x = 262,213,725.57
  5. Step 5: Solve for x
    x = 262,213,725.57/21,853.99
  6. Step 6: Final answer
    x = 11,998.44

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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.