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Finding the Fourth Proportional to 41,814, 62,721 and 14,112

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Solution

The fourth proportional to 41,814, 62,721 and 14,112 is: 21,168

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,814 : 62,721 = 14,112 : x
  2. Step 2: Convert to fraction form
    41,814/62,721 = 14,112/x
  3. Step 3: Cross multiply
    41,814x = 62,721 × 14,112
  4. Step 4: Simplify right side
    41,814x = 885,118,752
  5. Step 5: Solve for x
    x = 885,118,752/41,814
  6. Step 6: Final answer
    x = 21,168

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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.