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Finding the Fourth Proportional to 7,311.62, 10,965.06 and 2,379.96

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Solution

The fourth proportional to 7,311.62, 10,965.06 and 2,379.96 is: 3,569.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.62 : 10,965.06 = 2,379.96 : x
  2. Step 2: Convert to fraction form
    7,311.62/10,965.06 = 2,379.96/x
  3. Step 3: Cross multiply
    7,311.62x = 10,965.06 × 2,379.96
  4. Step 4: Simplify right side
    7,311.62x = 26,096,404.20
  5. Step 5: Solve for x
    x = 26,096,404.20/7,311.62
  6. Step 6: Final answer
    x = 3,569.17

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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.