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Finding the Fourth Proportional to 5,357, 8,038.92 and 2,279

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Solution

The fourth proportional to 5,357, 8,038.92 and 2,279 is: 3,419.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357 : 8,038.92 = 2,279 : x
  2. Step 2: Convert to fraction form
    5,357/8,038.92 = 2,279/x
  3. Step 3: Cross multiply
    5,357x = 8,038.92 × 2,279
  4. Step 4: Simplify right side
    5,357x = 18,320,698.68
  5. Step 5: Solve for x
    x = 18,320,698.68/5,357
  6. Step 6: Final answer
    x = 3,419.95

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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.