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Finding the Fourth Proportional to 14,414, 21,621 and 3,470

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Solution

The fourth proportional to 14,414, 21,621 and 3,470 is: 5,205

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414 : 21,621 = 3,470 : x
  2. Step 2: Convert to fraction form
    14,414/21,621 = 3,470/x
  3. Step 3: Cross multiply
    14,414x = 21,621 × 3,470
  4. Step 4: Simplify right side
    14,414x = 75,024,870
  5. Step 5: Solve for x
    x = 75,024,870/14,414
  6. Step 6: Final answer
    x = 5,205

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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.