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Finding the Fourth Proportional to 14,474, 21,711 and 5,240

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Solution

The fourth proportional to 14,474, 21,711 and 5,240 is: 7,860

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,474 : 21,711 = 5,240 : x
  2. Step 2: Convert to fraction form
    14,474/21,711 = 5,240/x
  3. Step 3: Cross multiply
    14,474x = 21,711 × 5,240
  4. Step 4: Simplify right side
    14,474x = 113,765,640
  5. Step 5: Solve for x
    x = 113,765,640/14,474
  6. Step 6: Final answer
    x = 7,860

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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.