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Finding the Fourth Proportional to 3,139.78, 4,709.67 and 2,446.97

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Solution

The fourth proportional to 3,139.78, 4,709.67 and 2,446.97 is: 3,670.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.78 : 4,709.67 = 2,446.97 : x
  2. Step 2: Convert to fraction form
    3,139.78/4,709.67 = 2,446.97/x
  3. Step 3: Cross multiply
    3,139.78x = 4,709.67 × 2,446.97
  4. Step 4: Simplify right side
    3,139.78x = 11,524,421.20
  5. Step 5: Solve for x
    x = 11,524,421.20/3,139.78
  6. Step 6: Final answer
    x = 3,670.46

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1.5x scale

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.