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Finding the Fourth Proportional to 6,991.25, 9,648.12 and 3,847.64

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Solution

The fourth proportional to 6,991.25, 9,648.12 and 3,847.64 is: 5,309.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.25 : 9,648.12 = 3,847.64 : x
  2. Step 2: Convert to fraction form
    6,991.25/9,648.12 = 3,847.64/x
  3. Step 3: Cross multiply
    6,991.25x = 9,648.12 × 3,847.64
  4. Step 4: Simplify right side
    6,991.25x = 37,122,492.44
  5. Step 5: Solve for x
    x = 37,122,492.44/6,991.25
  6. Step 6: Final answer
    x = 5,309.85

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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.