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Finding the Fourth Proportional to 3,899.97, 5,388.82 and 3,401.75

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Solution

The fourth proportional to 3,899.97, 5,388.82 and 3,401.75 is: 4,700.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.97 : 5,388.82 = 3,401.75 : x
  2. Step 2: Convert to fraction form
    3,899.97/5,388.82 = 3,401.75/x
  3. Step 3: Cross multiply
    3,899.97x = 5,388.82 × 3,401.75
  4. Step 4: Simplify right side
    3,899.97x = 18,331,423.40
  5. Step 5: Solve for x
    x = 18,331,423.40/3,899.97
  6. Step 6: Final answer
    x = 4,700.40

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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.