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Finding the Fourth Proportional to 4,167.56, 5,751 and 2,278.78

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Solution

The fourth proportional to 4,167.56, 5,751 and 2,278.78 is: 3,144.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.56 : 5,751 = 2,278.78 : x
  2. Step 2: Convert to fraction form
    4,167.56/5,751 = 2,278.78/x
  3. Step 3: Cross multiply
    4,167.56x = 5,751 × 2,278.78
  4. Step 4: Simplify right side
    4,167.56x = 13,105,249.40
  5. Step 5: Solve for x
    x = 13,105,249.40/4,167.56
  6. Step 6: Final answer
    x = 3,144.58

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1.5x scale

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.