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Finding the Fourth Proportional to 3,911.17, 5,866.77 and 949.61

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Solution

The fourth proportional to 3,911.17, 5,866.77 and 949.61 is: 1,424.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.17 : 5,866.77 = 949.61 : x
  2. Step 2: Convert to fraction form
    3,911.17/5,866.77 = 949.61/x
  3. Step 3: Cross multiply
    3,911.17x = 5,866.77 × 949.61
  4. Step 4: Simplify right side
    3,911.17x = 5,571,143.46
  5. Step 5: Solve for x
    x = 5,571,143.46/3,911.17
  6. Step 6: Final answer
    x = 1,424.42

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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.