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Finding the Fourth Proportional to 15,976.56, 23,961.54 and 4,287

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Solution

The fourth proportional to 15,976.56, 23,961.54 and 4,287 is: 6,429.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,976.56 : 23,961.54 = 4,287 : x
  2. Step 2: Convert to fraction form
    15,976.56/23,961.54 = 4,287/x
  3. Step 3: Cross multiply
    15,976.56x = 23,961.54 × 4,287
  4. Step 4: Simplify right side
    15,976.56x = 102,723,121.98
  5. Step 5: Solve for x
    x = 102,723,121.98/15,976.56
  6. Step 6: Final answer
    x = 6,429.61

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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.