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Finding the Fourth Proportional to 36,272, 54,408 and 14,384

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Solution

The fourth proportional to 36,272, 54,408 and 14,384 is: 21,576

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,272 : 54,408 = 14,384 : x
  2. Step 2: Convert to fraction form
    36,272/54,408 = 14,384/x
  3. Step 3: Cross multiply
    36,272x = 54,408 × 14,384
  4. Step 4: Simplify right side
    36,272x = 782,604,672
  5. Step 5: Solve for x
    x = 782,604,672/36,272
  6. Step 6: Final answer
    x = 21,576

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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.