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Finding the Fourth Proportional to 36,342, 54,513 and 11,718

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Solution

The fourth proportional to 36,342, 54,513 and 11,718 is: 17,577

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,342 : 54,513 = 11,718 : x
  2. Step 2: Convert to fraction form
    36,342/54,513 = 11,718/x
  3. Step 3: Cross multiply
    36,342x = 54,513 × 11,718
  4. Step 4: Simplify right side
    36,342x = 638,783,334
  5. Step 5: Solve for x
    x = 638,783,334/36,342
  6. Step 6: Final answer
    x = 17,577

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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.