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Finding the Fourth Proportional to 21,857.60, 32,786.40 and 6,276.48

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Solution

The fourth proportional to 21,857.60, 32,786.40 and 6,276.48 is: 9,414.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,857.60 : 32,786.40 = 6,276.48 : x
  2. Step 2: Convert to fraction form
    21,857.60/32,786.40 = 6,276.48/x
  3. Step 3: Cross multiply
    21,857.60x = 32,786.40 × 6,276.48
  4. Step 4: Simplify right side
    21,857.60x = 205,783,183.87
  5. Step 5: Solve for x
    x = 205,783,183.87/21,857.60
  6. Step 6: Final answer
    x = 9,414.72

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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.