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Finding the Fourth Proportional to 6,660.68, 9,983.08 and 3,098

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Solution

The fourth proportional to 6,660.68, 9,983.08 and 3,098 is: 4,643.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,660.68 : 9,983.08 = 3,098 : x
  2. Step 2: Convert to fraction form
    6,660.68/9,983.08 = 3,098/x
  3. Step 3: Cross multiply
    6,660.68x = 9,983.08 × 3,098
  4. Step 4: Simplify right side
    6,660.68x = 30,927,581.84
  5. Step 5: Solve for x
    x = 30,927,581.84/6,660.68
  6. Step 6: Final answer
    x = 4,643.31

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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.