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Finding the Fourth Proportional to 3,782.71, 5,220.19 and 2,290.76

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Solution

The fourth proportional to 3,782.71, 5,220.19 and 2,290.76 is: 3,161.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.71 : 5,220.19 = 2,290.76 : x
  2. Step 2: Convert to fraction form
    3,782.71/5,220.19 = 2,290.76/x
  3. Step 3: Cross multiply
    3,782.71x = 5,220.19 × 2,290.76
  4. Step 4: Simplify right side
    3,782.71x = 11,958,228.15
  5. Step 5: Solve for x
    x = 11,958,228.15/3,782.71
  6. Step 6: Final answer
    x = 3,161.29

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.