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Finding the Fourth Proportional to 2,105.70, 3,174.14 and 1,961.70

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Solution

The fourth proportional to 2,105.70, 3,174.14 and 1,961.70 is: 2,957.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.70 : 3,174.14 = 1,961.70 : x
  2. Step 2: Convert to fraction form
    2,105.70/3,174.14 = 1,961.70/x
  3. Step 3: Cross multiply
    2,105.70x = 3,174.14 × 1,961.70
  4. Step 4: Simplify right side
    2,105.70x = 6,226,700.63
  5. Step 5: Solve for x
    x = 6,226,700.63/2,105.70
  6. Step 6: Final answer
    x = 2,957.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.