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Finding the Fourth Proportional to 2,105.92, 3,158.77 and 645.09

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Solution

The fourth proportional to 2,105.92, 3,158.77 and 645.09 is: 967.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.92 : 3,158.77 = 645.09 : x
  2. Step 2: Convert to fraction form
    2,105.92/3,158.77 = 645.09/x
  3. Step 3: Cross multiply
    2,105.92x = 3,158.77 × 645.09
  4. Step 4: Simplify right side
    2,105.92x = 2,037,689.39
  5. Step 5: Solve for x
    x = 2,037,689.39/2,105.92
  6. Step 6: Final answer
    x = 967.60

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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.