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Finding the Fourth Proportional to 22,478.32, 33,723.44 and 7,687.21

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Solution

The fourth proportional to 22,478.32, 33,723.44 and 7,687.21 is: 11,532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,478.32 : 33,723.44 = 7,687.21 : x
  2. Step 2: Convert to fraction form
    22,478.32/33,723.44 = 7,687.21/x
  3. Step 3: Cross multiply
    22,478.32x = 33,723.44 × 7,687.21
  4. Step 4: Simplify right side
    22,478.32x = 259,239,165.20
  5. Step 5: Solve for x
    x = 259,239,165.20/22,478.32
  6. Step 6: Final answer
    x = 11,532.85

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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.