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Finding the Fourth Proportional to 3,847.62, 5,309.94 and 2,275.68

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Solution

The fourth proportional to 3,847.62, 5,309.94 and 2,275.68 is: 3,140.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.62 : 5,309.94 = 2,275.68 : x
  2. Step 2: Convert to fraction form
    3,847.62/5,309.94 = 2,275.68/x
  3. Step 3: Cross multiply
    3,847.62x = 5,309.94 × 2,275.68
  4. Step 4: Simplify right side
    3,847.62x = 12,083,724.26
  5. Step 5: Solve for x
    x = 12,083,724.26/3,847.62
  6. Step 6: Final answer
    x = 3,140.57

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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.