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Finding the Fourth Proportional to 5,191.86, 7,771.08 and 2,723.22

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Solution

The fourth proportional to 5,191.86, 7,771.08 and 2,723.22 is: 4,076.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.86 : 7,771.08 = 2,723.22 : x
  2. Step 2: Convert to fraction form
    5,191.86/7,771.08 = 2,723.22/x
  3. Step 3: Cross multiply
    5,191.86x = 7,771.08 × 2,723.22
  4. Step 4: Simplify right side
    5,191.86x = 21,162,360.48
  5. Step 5: Solve for x
    x = 21,162,360.48/5,191.86
  6. Step 6: Final answer
    x = 4,076.07

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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.