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Finding the Fourth Proportional to 6,821, 10,231.50 and 2,719.88

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Solution

The fourth proportional to 6,821, 10,231.50 and 2,719.88 is: 4,079.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821 : 10,231.50 = 2,719.88 : x
  2. Step 2: Convert to fraction form
    6,821/10,231.50 = 2,719.88/x
  3. Step 3: Cross multiply
    6,821x = 10,231.50 × 2,719.88
  4. Step 4: Simplify right side
    6,821x = 27,828,452.22
  5. Step 5: Solve for x
    x = 27,828,452.22/6,821
  6. Step 6: Final answer
    x = 4,079.82

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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.