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Finding the Fourth Proportional to 21,774.68, 32,662.86 and 7,736.24

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Solution

The fourth proportional to 21,774.68, 32,662.86 and 7,736.24 is: 11,604.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,774.68 : 32,662.86 = 7,736.24 : x
  2. Step 2: Convert to fraction form
    21,774.68/32,662.86 = 7,736.24/x
  3. Step 3: Cross multiply
    21,774.68x = 32,662.86 × 7,736.24
  4. Step 4: Simplify right side
    21,774.68x = 252,687,724.05
  5. Step 5: Solve for x
    x = 252,687,724.05/21,774.68
  6. Step 6: Final answer
    x = 11,604.66

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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.