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Finding the Fourth Proportional to 3,605.86, 4,976.43 and 2,189.22

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Solution

The fourth proportional to 3,605.86, 4,976.43 and 2,189.22 is: 3,021.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.86 : 4,976.43 = 2,189.22 : x
  2. Step 2: Convert to fraction form
    3,605.86/4,976.43 = 2,189.22/x
  3. Step 3: Cross multiply
    3,605.86x = 4,976.43 × 2,189.22
  4. Step 4: Simplify right side
    3,605.86x = 10,894,475.20
  5. Step 5: Solve for x
    x = 10,894,475.20/3,605.86
  6. Step 6: Final answer
    x = 3,021.33

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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.