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Finding the Fourth Proportional to 6,821.01, 10,229.31 and 2,660.00

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Solution

The fourth proportional to 6,821.01, 10,229.31 and 2,660.00 is: 3,989.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.01 : 10,229.31 = 2,660.00 : x
  2. Step 2: Convert to fraction form
    6,821.01/10,229.31 = 2,660.00/x
  3. Step 3: Cross multiply
    6,821.01x = 10,229.31 × 2,660.00
  4. Step 4: Simplify right side
    6,821.01x = 27,209,913.45
  5. Step 5: Solve for x
    x = 27,209,913.45/6,821.01
  6. Step 6: Final answer
    x = 3,989.13

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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.