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Finding the Fourth Proportional to 3,847.74, 5,309.94 and 2,275.98

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Solution

The fourth proportional to 3,847.74, 5,309.94 and 2,275.98 is: 3,140.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.74 : 5,309.94 = 2,275.98 : x
  2. Step 2: Convert to fraction form
    3,847.74/5,309.94 = 2,275.98/x
  3. Step 3: Cross multiply
    3,847.74x = 5,309.94 × 2,275.98
  4. Step 4: Simplify right side
    3,847.74x = 12,085,317.24
  5. Step 5: Solve for x
    x = 12,085,317.24/3,847.74
  6. Step 6: Final answer
    x = 3,140.89

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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.