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Finding the Fourth Proportional to 7,591, 10,475.58 and 4,279

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Solution

The fourth proportional to 7,591, 10,475.58 and 4,279 is: 5,905.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,591 : 10,475.58 = 4,279 : x
  2. Step 2: Convert to fraction form
    7,591/10,475.58 = 4,279/x
  3. Step 3: Cross multiply
    7,591x = 10,475.58 × 4,279
  4. Step 4: Simplify right side
    7,591x = 44,825,006.82
  5. Step 5: Solve for x
    x = 44,825,006.82/7,591
  6. Step 6: Final answer
    x = 5,905.02

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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.