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Finding the Fourth Proportional to 2,105.39, 3,156.34 and 873.68

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Solution

The fourth proportional to 2,105.39, 3,156.34 and 873.68 is: 1,309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.39 : 3,156.34 = 873.68 : x
  2. Step 2: Convert to fraction form
    2,105.39/3,156.34 = 873.68/x
  3. Step 3: Cross multiply
    2,105.39x = 3,156.34 × 873.68
  4. Step 4: Simplify right side
    2,105.39x = 2,757,631.13
  5. Step 5: Solve for x
    x = 2,757,631.13/2,105.39
  6. Step 6: Final answer
    x = 1,309.80

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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.