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Finding the Fourth Proportional to 7,279, 10,046.19 and 4,137.10

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Solution

The fourth proportional to 7,279, 10,046.19 and 4,137.10 is: 5,709.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,279 : 10,046.19 = 4,137.10 : x
  2. Step 2: Convert to fraction form
    7,279/10,046.19 = 4,137.10/x
  3. Step 3: Cross multiply
    7,279x = 10,046.19 × 4,137.10
  4. Step 4: Simplify right side
    7,279x = 41,562,092.65
  5. Step 5: Solve for x
    x = 41,562,092.65/7,279
  6. Step 6: Final answer
    x = 5,709.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.