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Finding the Fourth Proportional to 36,344, 54,516 and 11,720

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Solution

The fourth proportional to 36,344, 54,516 and 11,720 is: 17,580

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,344 : 54,516 = 11,720 : x
  2. Step 2: Convert to fraction form
    36,344/54,516 = 11,720/x
  3. Step 3: Cross multiply
    36,344x = 54,516 × 11,720
  4. Step 4: Simplify right side
    36,344x = 638,927,520
  5. Step 5: Solve for x
    x = 638,927,520/36,344
  6. Step 6: Final answer
    x = 17,580

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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.