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Finding the Fourth Proportional to 3,889.88, 5,834.46 and 2,409.32

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Solution

The fourth proportional to 3,889.88, 5,834.46 and 2,409.32 is: 3,613.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.88 : 5,834.46 = 2,409.32 : x
  2. Step 2: Convert to fraction form
    3,889.88/5,834.46 = 2,409.32/x
  3. Step 3: Cross multiply
    3,889.88x = 5,834.46 × 2,409.32
  4. Step 4: Simplify right side
    3,889.88x = 14,057,081.17
  5. Step 5: Solve for x
    x = 14,057,081.17/3,889.88
  6. Step 6: Final answer
    x = 3,613.76

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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.