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Finding the Fourth Proportional to 3,847.84, 5,313.12 and 3,139.78

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Solution

The fourth proportional to 3,847.84, 5,313.12 and 3,139.78 is: 4,335.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.84 : 5,313.12 = 3,139.78 : x
  2. Step 2: Convert to fraction form
    3,847.84/5,313.12 = 3,139.78/x
  3. Step 3: Cross multiply
    3,847.84x = 5,313.12 × 3,139.78
  4. Step 4: Simplify right side
    3,847.84x = 16,682,027.91
  5. Step 5: Solve for x
    x = 16,682,027.91/3,847.84
  6. Step 6: Final answer
    x = 4,335.43

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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.