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Finding the Fourth Proportional to 5,145.92, 7,105.03 and 3,157.11

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Solution

The fourth proportional to 5,145.92, 7,105.03 and 3,157.11 is: 4,359.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.92 : 7,105.03 = 3,157.11 : x
  2. Step 2: Convert to fraction form
    5,145.92/7,105.03 = 3,157.11/x
  3. Step 3: Cross multiply
    5,145.92x = 7,105.03 × 3,157.11
  4. Step 4: Simplify right side
    5,145.92x = 22,431,361.26
  5. Step 5: Solve for x
    x = 22,431,361.26/5,145.92
  6. Step 6: Final answer
    x = 4,359.06

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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.