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Finding the Fourth Proportional to 1,859.58, 2,786.13 and 1,167.84

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Solution

The fourth proportional to 1,859.58, 2,786.13 and 1,167.84 is: 1,749.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.58 : 2,786.13 = 1,167.84 : x
  2. Step 2: Convert to fraction form
    1,859.58/2,786.13 = 1,167.84/x
  3. Step 3: Cross multiply
    1,859.58x = 2,786.13 × 1,167.84
  4. Step 4: Simplify right side
    1,859.58x = 3,253,754.06
  5. Step 5: Solve for x
    x = 3,253,754.06/1,859.58
  6. Step 6: Final answer
    x = 1,749.73

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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.