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Finding the Fourth Proportional to 3,859.77, 5,788.97 and 1,085.78

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Solution

The fourth proportional to 3,859.77, 5,788.97 and 1,085.78 is: 1,628.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.77 : 5,788.97 = 1,085.78 : x
  2. Step 2: Convert to fraction form
    3,859.77/5,788.97 = 1,085.78/x
  3. Step 3: Cross multiply
    3,859.77x = 5,788.97 × 1,085.78
  4. Step 4: Simplify right side
    3,859.77x = 6,285,513.47
  5. Step 5: Solve for x
    x = 6,285,513.47/3,859.77
  6. Step 6: Final answer
    x = 1,628.47

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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.