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Finding the Fourth Proportional to 21,771.60, 32,660.28 and 6,975.60

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Solution

The fourth proportional to 21,771.60, 32,660.28 and 6,975.60 is: 10,464.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,771.60 : 32,660.28 = 6,975.60 : x
  2. Step 2: Convert to fraction form
    21,771.60/32,660.28 = 6,975.60/x
  3. Step 3: Cross multiply
    21,771.60x = 32,660.28 × 6,975.60
  4. Step 4: Simplify right side
    21,771.60x = 227,825,049.17
  5. Step 5: Solve for x
    x = 227,825,049.17/21,771.60
  6. Step 6: Final answer
    x = 10,464.32

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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.