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Finding the Fourth Proportional to 14,311.62, 21,473.61 and 7,742.43

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Solution

The fourth proportional to 14,311.62, 21,473.61 and 7,742.43 is: 11,616.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.62 : 21,473.61 = 7,742.43 : x
  2. Step 2: Convert to fraction form
    14,311.62/21,473.61 = 7,742.43/x
  3. Step 3: Cross multiply
    14,311.62x = 21,473.61 × 7,742.43
  4. Step 4: Simplify right side
    14,311.62x = 166,257,922.27
  5. Step 5: Solve for x
    x = 166,257,922.27/14,311.62
  6. Step 6: Final answer
    x = 11,616.99

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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.