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Finding the Fourth Proportional to 3,174.91, 4,739.22 and 2,914.90

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Solution

The fourth proportional to 3,174.91, 4,739.22 and 2,914.90 is: 4,351.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.91 : 4,739.22 = 2,914.90 : x
  2. Step 2: Convert to fraction form
    3,174.91/4,739.22 = 2,914.90/x
  3. Step 3: Cross multiply
    3,174.91x = 4,739.22 × 2,914.90
  4. Step 4: Simplify right side
    3,174.91x = 13,814,340.53
  5. Step 5: Solve for x
    x = 13,814,340.53/3,174.91
  6. Step 6: Final answer
    x = 4,351.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.