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Finding the Fourth Proportional to 1,939.43, 2,909.07 and 1,678.58

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Solution

The fourth proportional to 1,939.43, 2,909.07 and 1,678.58 is: 2,517.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.43 : 2,909.07 = 1,678.58 : x
  2. Step 2: Convert to fraction form
    1,939.43/2,909.07 = 1,678.58/x
  3. Step 3: Cross multiply
    1,939.43x = 2,909.07 × 1,678.58
  4. Step 4: Simplify right side
    1,939.43x = 4,883,119.45
  5. Step 5: Solve for x
    x = 4,883,119.45/1,939.43
  6. Step 6: Final answer
    x = 2,517.81

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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.