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Finding the Fourth Proportional to 6,659.71, 9,991.94 and 2,961.61

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Solution

The fourth proportional to 6,659.71, 9,991.94 and 2,961.61 is: 4,443.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.71 : 9,991.94 = 2,961.61 : x
  2. Step 2: Convert to fraction form
    6,659.71/9,991.94 = 2,961.61/x
  3. Step 3: Cross multiply
    6,659.71x = 9,991.94 × 2,961.61
  4. Step 4: Simplify right side
    6,659.71x = 29,592,189.64
  5. Step 5: Solve for x
    x = 29,592,189.64/6,659.71
  6. Step 6: Final answer
    x = 4,443.47

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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.