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Finding the Fourth Proportional to 11,324.70, 15,629.07 and 6,289.90

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Solution

The fourth proportional to 11,324.70, 15,629.07 and 6,289.90 is: 8,680.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,324.70 : 15,629.07 = 6,289.90 : x
  2. Step 2: Convert to fraction form
    11,324.70/15,629.07 = 6,289.90/x
  3. Step 3: Cross multiply
    11,324.70x = 15,629.07 × 6,289.90
  4. Step 4: Simplify right side
    11,324.70x = 98,305,271.91
  5. Step 5: Solve for x
    x = 98,305,271.91/11,324.70
  6. Step 6: Final answer
    x = 8,680.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.