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Finding the Fourth Proportional to 3,809.77, 5,712.91 and 1,729.69

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Solution

The fourth proportional to 3,809.77, 5,712.91 and 1,729.69 is: 2,593.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.77 : 5,712.91 = 1,729.69 : x
  2. Step 2: Convert to fraction form
    3,809.77/5,712.91 = 1,729.69/x
  3. Step 3: Cross multiply
    3,809.77x = 5,712.91 × 1,729.69
  4. Step 4: Simplify right side
    3,809.77x = 9,881,544.69
  5. Step 5: Solve for x
    x = 9,881,544.69/3,809.77
  6. Step 6: Final answer
    x = 2,593.74

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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.