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Finding the Fourth Proportional to 1,786.56, 2,679.84 and 1,691.76

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Solution

The fourth proportional to 1,786.56, 2,679.84 and 1,691.76 is: 2,537.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.56 : 2,679.84 = 1,691.76 : x
  2. Step 2: Convert to fraction form
    1,786.56/2,679.84 = 1,691.76/x
  3. Step 3: Cross multiply
    1,786.56x = 2,679.84 × 1,691.76
  4. Step 4: Simplify right side
    1,786.56x = 4,533,646.12
  5. Step 5: Solve for x
    x = 4,533,646.12/1,786.56
  6. Step 6: Final answer
    x = 2,537.64

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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.