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Finding the Fourth Proportional to 1,939.73, 2,909.39 and 785.48

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Solution

The fourth proportional to 1,939.73, 2,909.39 and 785.48 is: 1,178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.73 : 2,909.39 = 785.48 : x
  2. Step 2: Convert to fraction form
    1,939.73/2,909.39 = 785.48/x
  3. Step 3: Cross multiply
    1,939.73x = 2,909.39 × 785.48
  4. Step 4: Simplify right side
    1,939.73x = 2,285,249.18
  5. Step 5: Solve for x
    x = 2,285,249.18/1,939.73
  6. Step 6: Final answer
    x = 1,178.13

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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.