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Finding the Fourth Proportional to 3,853.72, 5,780.58 and 1,221.09

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Solution

The fourth proportional to 3,853.72, 5,780.58 and 1,221.09 is: 1,831.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.72 : 5,780.58 = 1,221.09 : x
  2. Step 2: Convert to fraction form
    3,853.72/5,780.58 = 1,221.09/x
  3. Step 3: Cross multiply
    3,853.72x = 5,780.58 × 1,221.09
  4. Step 4: Simplify right side
    3,853.72x = 7,058,608.43
  5. Step 5: Solve for x
    x = 7,058,608.43/3,853.72
  6. Step 6: Final answer
    x = 1,831.64

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Double scale
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Similar ratio
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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.