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Finding the Fourth Proportional to 7,889.91, 11,833.17 and 2,959.90

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Solution

The fourth proportional to 7,889.91, 11,833.17 and 2,959.90 is: 4,439.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.91 : 11,833.17 = 2,959.90 : x
  2. Step 2: Convert to fraction form
    7,889.91/11,833.17 = 2,959.90/x
  3. Step 3: Cross multiply
    7,889.91x = 11,833.17 × 2,959.90
  4. Step 4: Simplify right side
    7,889.91x = 35,024,999.88
  5. Step 5: Solve for x
    x = 35,024,999.88/7,889.91
  6. Step 6: Final answer
    x = 4,439.21

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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.