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Finding the Fourth Proportional to 63,650, 95,475 and 19,874

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Solution

The fourth proportional to 63,650, 95,475 and 19,874 is: 29,811

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,650 : 95,475 = 19,874 : x
  2. Step 2: Convert to fraction form
    63,650/95,475 = 19,874/x
  3. Step 3: Cross multiply
    63,650x = 95,475 × 19,874
  4. Step 4: Simplify right side
    63,650x = 1,897,470,150
  5. Step 5: Solve for x
    x = 1,897,470,150/63,650
  6. Step 6: Final answer
    x = 29,811

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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.