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Finding the Fourth Proportional to 3,147.75, 4,722.47 and 2,803.44

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Solution

The fourth proportional to 3,147.75, 4,722.47 and 2,803.44 is: 4,205.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.75 : 4,722.47 = 2,803.44 : x
  2. Step 2: Convert to fraction form
    3,147.75/4,722.47 = 2,803.44/x
  3. Step 3: Cross multiply
    3,147.75x = 4,722.47 × 2,803.44
  4. Step 4: Simplify right side
    3,147.75x = 13,239,175.50
  5. Step 5: Solve for x
    x = 13,239,175.50/3,147.75
  6. Step 6: Final answer
    x = 4,205.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.