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Finding the Fourth Proportional to 2,105.26, 3,157.74 and 872.34

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Solution

The fourth proportional to 2,105.26, 3,157.74 and 872.34 is: 1,308.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.26 : 3,157.74 = 872.34 : x
  2. Step 2: Convert to fraction form
    2,105.26/3,157.74 = 872.34/x
  3. Step 3: Cross multiply
    2,105.26x = 3,157.74 × 872.34
  4. Step 4: Simplify right side
    2,105.26x = 2,754,622.91
  5. Step 5: Solve for x
    x = 2,754,622.91/2,105.26
  6. Step 6: Final answer
    x = 1,308.45

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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.