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Finding the Fourth Proportional to 11,754.32, 17,640 and 4,359.83

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Solution

The fourth proportional to 11,754.32, 17,640 and 4,359.83 is: 6,542.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.32 : 17,640 = 4,359.83 : x
  2. Step 2: Convert to fraction form
    11,754.32/17,640 = 4,359.83/x
  3. Step 3: Cross multiply
    11,754.32x = 17,640 × 4,359.83
  4. Step 4: Simplify right side
    11,754.32x = 76,907,379.15
  5. Step 5: Solve for x
    x = 76,907,379.15/11,754.32
  6. Step 6: Final answer
    x = 6,542.90

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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.