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Finding the Fourth Proportional to 3,846.69, 5,309.75 and 2,274.75

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Solution

The fourth proportional to 3,846.69, 5,309.75 and 2,274.75 is: 3,139.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.69 : 5,309.75 = 2,274.75 : x
  2. Step 2: Convert to fraction form
    3,846.69/5,309.75 = 2,274.75/x
  3. Step 3: Cross multiply
    3,846.69x = 5,309.75 × 2,274.75
  4. Step 4: Simplify right side
    3,846.69x = 12,078,359.50
  5. Step 5: Solve for x
    x = 12,078,359.50/3,846.69
  6. Step 6: Final answer
    x = 3,139.94

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Double scale
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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.