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Finding the Fourth Proportional to 14,274.87, 21,400.01 and 6,869.14

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Solution

The fourth proportional to 14,274.87, 21,400.01 and 6,869.14 is: 10,297.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,274.87 : 21,400.01 = 6,869.14 : x
  2. Step 2: Convert to fraction form
    14,274.87/21,400.01 = 6,869.14/x
  3. Step 3: Cross multiply
    14,274.87x = 21,400.01 × 6,869.14
  4. Step 4: Simplify right side
    14,274.87x = 146,999,664.69
  5. Step 5: Solve for x
    x = 146,999,664.69/14,274.87
  6. Step 6: Final answer
    x = 10,297.79

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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.