Home / 1,678.16-2,519.82-1,367.16

Finding the Fourth Proportional to 1,678.16, 2,519.82 and 1,367.16

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Solution

The fourth proportional to 1,678.16, 2,519.82 and 1,367.16 is: 2,052.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.16 : 2,519.82 = 1,367.16 : x
  2. Step 2: Convert to fraction form
    1,678.16/2,519.82 = 1,367.16/x
  3. Step 3: Cross multiply
    1,678.16x = 2,519.82 × 1,367.16
  4. Step 4: Simplify right side
    1,678.16x = 3,444,997.11
  5. Step 5: Solve for x
    x = 3,444,997.11/1,678.16
  6. Step 6: Final answer
    x = 2,052.85

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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.