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Finding the Fourth Proportional to 3,853.94, 5,782.70 and 1,221.86

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Solution

The fourth proportional to 3,853.94, 5,782.70 and 1,221.86 is: 1,833.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.94 : 5,782.70 = 1,221.86 : x
  2. Step 2: Convert to fraction form
    3,853.94/5,782.70 = 1,221.86/x
  3. Step 3: Cross multiply
    3,853.94x = 5,782.70 × 1,221.86
  4. Step 4: Simplify right side
    3,853.94x = 7,065,614.80
  5. Step 5: Solve for x
    x = 7,065,614.80/3,853.94
  6. Step 6: Final answer
    x = 1,833.35

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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.