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Finding the Fourth Proportional to 3,894.13, 5,806.90 and 3,859.03

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Solution

The fourth proportional to 3,894.13, 5,806.90 and 3,859.03 is: 5,754.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.13 : 5,806.90 = 3,859.03 : x
  2. Step 2: Convert to fraction form
    3,894.13/5,806.90 = 3,859.03/x
  3. Step 3: Cross multiply
    3,894.13x = 5,806.90 × 3,859.03
  4. Step 4: Simplify right side
    3,894.13x = 22,409,001.31
  5. Step 5: Solve for x
    x = 22,409,001.31/3,894.13
  6. Step 6: Final answer
    x = 5,754.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.