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Finding the Fourth Proportional to 4,838.64, 7,257.96 and 1,375.86

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Solution

The fourth proportional to 4,838.64, 7,257.96 and 1,375.86 is: 2,063.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.64 : 7,257.96 = 1,375.86 : x
  2. Step 2: Convert to fraction form
    4,838.64/7,257.96 = 1,375.86/x
  3. Step 3: Cross multiply
    4,838.64x = 7,257.96 × 1,375.86
  4. Step 4: Simplify right side
    4,838.64x = 9,985,936.85
  5. Step 5: Solve for x
    x = 9,985,936.85/4,838.64
  6. Step 6: Final answer
    x = 2,063.79

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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.