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Finding the Fourth Proportional to 18,563.31, 27,847.75 and 6,719.86

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Solution

The fourth proportional to 18,563.31, 27,847.75 and 6,719.86 is: 10,080.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,563.31 : 27,847.75 = 6,719.86 : x
  2. Step 2: Convert to fraction form
    18,563.31/27,847.75 = 6,719.86/x
  3. Step 3: Cross multiply
    18,563.31x = 27,847.75 × 6,719.86
  4. Step 4: Simplify right side
    18,563.31x = 187,132,808.48
  5. Step 5: Solve for x
    x = 187,132,808.48/18,563.31
  6. Step 6: Final answer
    x = 10,080.79

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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.