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Finding the Fourth Proportional to 21,728.70, 32,586.14 and 6,934.20

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Solution

The fourth proportional to 21,728.70, 32,586.14 and 6,934.20 is: 10,399.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,728.70 : 32,586.14 = 6,934.20 : x
  2. Step 2: Convert to fraction form
    21,728.70/32,586.14 = 6,934.20/x
  3. Step 3: Cross multiply
    21,728.70x = 32,586.14 × 6,934.20
  4. Step 4: Simplify right side
    21,728.70x = 225,958,811.99
  5. Step 5: Solve for x
    x = 225,958,811.99/21,728.70
  6. Step 6: Final answer
    x = 10,399.09

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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.