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Finding the Fourth Proportional to 11,640, 17,467.68 and 5,484.48

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Solution

The fourth proportional to 11,640, 17,467.68 and 5,484.48 is: 8,230.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640 : 17,467.68 = 5,484.48 : x
  2. Step 2: Convert to fraction form
    11,640/17,467.68 = 5,484.48/x
  3. Step 3: Cross multiply
    11,640x = 17,467.68 × 5,484.48
  4. Step 4: Simplify right side
    11,640x = 95,801,141.61
  5. Step 5: Solve for x
    x = 95,801,141.61/11,640
  6. Step 6: Final answer
    x = 8,230.34

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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.