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Finding the Fourth Proportional to 1,939.88, 2,909.82 and 571.88

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Solution

The fourth proportional to 1,939.88, 2,909.82 and 571.88 is: 857.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.88 : 2,909.82 = 571.88 : x
  2. Step 2: Convert to fraction form
    1,939.88/2,909.82 = 571.88/x
  3. Step 3: Cross multiply
    1,939.88x = 2,909.82 × 571.88
  4. Step 4: Simplify right side
    1,939.88x = 1,664,053.31
  5. Step 5: Solve for x
    x = 1,664,053.31/1,939.88
  6. Step 6: Final answer
    x = 857.81

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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.