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Finding the Fourth Proportional to 3,131.56, 4,697.20 and 940.22

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Solution

The fourth proportional to 3,131.56, 4,697.20 and 940.22 is: 1,410.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.56 : 4,697.20 = 940.22 : x
  2. Step 2: Convert to fraction form
    3,131.56/4,697.20 = 940.22/x
  3. Step 3: Cross multiply
    3,131.56x = 4,697.20 × 940.22
  4. Step 4: Simplify right side
    3,131.56x = 4,416,396.69
  5. Step 5: Solve for x
    x = 4,416,396.69/3,131.56
  6. Step 6: Final answer
    x = 1,410.29

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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.