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Finding the Fourth Proportional to 21,074.87, 31,627.86 and 9,981.54

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Solution

The fourth proportional to 21,074.87, 31,627.86 and 9,981.54 is: 14,979.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,074.87 : 31,627.86 = 9,981.54 : x
  2. Step 2: Convert to fraction form
    21,074.87/31,627.86 = 9,981.54/x
  3. Step 3: Cross multiply
    21,074.87x = 31,627.86 × 9,981.54
  4. Step 4: Simplify right side
    21,074.87x = 315,694,749.70
  5. Step 5: Solve for x
    x = 315,694,749.70/21,074.87
  6. Step 6: Final answer
    x = 14,979.68

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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.