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Finding the Fourth Proportional to 3,806.14, 5,250.99 and 2,389

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Solution

The fourth proportional to 3,806.14, 5,250.99 and 2,389 is: 3,295.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.14 : 5,250.99 = 2,389 : x
  2. Step 2: Convert to fraction form
    3,806.14/5,250.99 = 2,389/x
  3. Step 3: Cross multiply
    3,806.14x = 5,250.99 × 2,389
  4. Step 4: Simplify right side
    3,806.14x = 12,544,615.11
  5. Step 5: Solve for x
    x = 12,544,615.11/3,806.14
  6. Step 6: Final answer
    x = 3,295.89

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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.