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Finding the Fourth Proportional to 4,759, 7,138.94 and 1,249.48

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Solution

The fourth proportional to 4,759, 7,138.94 and 1,249.48 is: 1,874.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,759 : 7,138.94 = 1,249.48 : x
  2. Step 2: Convert to fraction form
    4,759/7,138.94 = 1,249.48/x
  3. Step 3: Cross multiply
    4,759x = 7,138.94 × 1,249.48
  4. Step 4: Simplify right side
    4,759x = 8,919,962.75
  5. Step 5: Solve for x
    x = 8,919,962.75/4,759
  6. Step 6: Final answer
    x = 1,874.34

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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.