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Finding the Fourth Proportional to 3,887.23, 5,822.60 and 3,143.65

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Solution

The fourth proportional to 3,887.23, 5,822.60 and 3,143.65 is: 4,708.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.23 : 5,822.60 = 3,143.65 : x
  2. Step 2: Convert to fraction form
    3,887.23/5,822.60 = 3,143.65/x
  3. Step 3: Cross multiply
    3,887.23x = 5,822.60 × 3,143.65
  4. Step 4: Simplify right side
    3,887.23x = 18,304,216.49
  5. Step 5: Solve for x
    x = 18,304,216.49/3,887.23
  6. Step 6: Final answer
    x = 4,708.81

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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.