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Finding the Fourth Proportional to 3,859.42, 5,788.08 and 1,085.92

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Solution

The fourth proportional to 3,859.42, 5,788.08 and 1,085.92 is: 1,628.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.42 : 5,788.08 = 1,085.92 : x
  2. Step 2: Convert to fraction form
    3,859.42/5,788.08 = 1,085.92/x
  3. Step 3: Cross multiply
    3,859.42x = 5,788.08 × 1,085.92
  4. Step 4: Simplify right side
    3,859.42x = 6,285,391.83
  5. Step 5: Solve for x
    x = 6,285,391.83/3,859.42
  6. Step 6: Final answer
    x = 1,628.58

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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.