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Finding the Fourth Proportional to 3,138.72, 4,704.64 and 1,575.62

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Solution

The fourth proportional to 3,138.72, 4,704.64 and 1,575.62 is: 2,361.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.72 : 4,704.64 = 1,575.62 : x
  2. Step 2: Convert to fraction form
    3,138.72/4,704.64 = 1,575.62/x
  3. Step 3: Cross multiply
    3,138.72x = 4,704.64 × 1,575.62
  4. Step 4: Simplify right side
    3,138.72x = 7,412,724.88
  5. Step 5: Solve for x
    x = 7,412,724.88/3,138.72
  6. Step 6: Final answer
    x = 2,361.70

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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.