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Finding the Fourth Proportional to 21,722.48, 32,570.72 and 6,928.64

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Solution

The fourth proportional to 21,722.48, 32,570.72 and 6,928.64 is: 10,388.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,722.48 : 32,570.72 = 6,928.64 : x
  2. Step 2: Convert to fraction form
    21,722.48/32,570.72 = 6,928.64/x
  3. Step 3: Cross multiply
    21,722.48x = 32,570.72 × 6,928.64
  4. Step 4: Simplify right side
    21,722.48x = 225,670,793.42
  5. Step 5: Solve for x
    x = 225,670,793.42/21,722.48
  6. Step 6: Final answer
    x = 10,388.81

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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.