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Finding the Fourth Proportional to 3,784.70, 5,222.87 and 2,213.70

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Solution

The fourth proportional to 3,784.70, 5,222.87 and 2,213.70 is: 3,054.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.70 : 5,222.87 = 2,213.70 : x
  2. Step 2: Convert to fraction form
    3,784.70/5,222.87 = 2,213.70/x
  3. Step 3: Cross multiply
    3,784.70x = 5,222.87 × 2,213.70
  4. Step 4: Simplify right side
    3,784.70x = 11,561,856.25
  5. Step 5: Solve for x
    x = 11,561,856.25/3,784.70
  6. Step 6: Final answer
    x = 3,054.90

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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.