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Finding the Fourth Proportional to 3,910.59, 5,865.91 and 949.03

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Solution

The fourth proportional to 3,910.59, 5,865.91 and 949.03 is: 1,423.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.59 : 5,865.91 = 949.03 : x
  2. Step 2: Convert to fraction form
    3,910.59/5,865.91 = 949.03/x
  3. Step 3: Cross multiply
    3,910.59x = 5,865.91 × 949.03
  4. Step 4: Simplify right side
    3,910.59x = 5,566,895.24
  5. Step 5: Solve for x
    x = 5,566,895.24/3,910.59
  6. Step 6: Final answer
    x = 1,423.54

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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.