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Finding the Fourth Proportional to 3,849, 5,310.69 and 2,276.22

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Solution

The fourth proportional to 3,849, 5,310.69 and 2,276.22 is: 3,140.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849 : 5,310.69 = 2,276.22 : x
  2. Step 2: Convert to fraction form
    3,849/5,310.69 = 2,276.22/x
  3. Step 3: Cross multiply
    3,849x = 5,310.69 × 2,276.22
  4. Step 4: Simplify right side
    3,849x = 12,088,298.79
  5. Step 5: Solve for x
    x = 12,088,298.79/3,849
  6. Step 6: Final answer
    x = 3,140.63

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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.