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Finding the Fourth Proportional to 1,934, 2,669.70 and 1,226.86

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Solution

The fourth proportional to 1,934, 2,669.70 and 1,226.86 is: 1,693.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934 : 2,669.70 = 1,226.86 : x
  2. Step 2: Convert to fraction form
    1,934/2,669.70 = 1,226.86/x
  3. Step 3: Cross multiply
    1,934x = 2,669.70 × 1,226.86
  4. Step 4: Simplify right side
    1,934x = 3,275,348.14
  5. Step 5: Solve for x
    x = 3,275,348.14/1,934
  6. Step 6: Final answer
    x = 1,693.56

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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.