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Finding the Fourth Proportional to 36,464, 54,696 and 11,840

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Solution

The fourth proportional to 36,464, 54,696 and 11,840 is: 17,760

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,464 : 54,696 = 11,840 : x
  2. Step 2: Convert to fraction form
    36,464/54,696 = 11,840/x
  3. Step 3: Cross multiply
    36,464x = 54,696 × 11,840
  4. Step 4: Simplify right side
    36,464x = 647,600,640
  5. Step 5: Solve for x
    x = 647,600,640/36,464
  6. Step 6: Final answer
    x = 17,760

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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.