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Finding the Fourth Proportional to 7,310.31, 10,965.46 and 2,379.94

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Solution

The fourth proportional to 7,310.31, 10,965.46 and 2,379.94 is: 3,569.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.31 : 10,965.46 = 2,379.94 : x
  2. Step 2: Convert to fraction form
    7,310.31/10,965.46 = 2,379.94/x
  3. Step 3: Cross multiply
    7,310.31x = 10,965.46 × 2,379.94
  4. Step 4: Simplify right side
    7,310.31x = 26,097,195.11
  5. Step 5: Solve for x
    x = 26,097,195.11/7,310.31
  6. Step 6: Final answer
    x = 3,569.91

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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.