Home / 2,814.42-3,883.89-1,696

Finding the Fourth Proportional to 2,814.42, 3,883.89 and 1,696

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Solution

The fourth proportional to 2,814.42, 3,883.89 and 1,696 is: 2,340.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.42 : 3,883.89 = 1,696 : x
  2. Step 2: Convert to fraction form
    2,814.42/3,883.89 = 1,696/x
  3. Step 3: Cross multiply
    2,814.42x = 3,883.89 × 1,696
  4. Step 4: Simplify right side
    2,814.42x = 6,587,077.44
  5. Step 5: Solve for x
    x = 6,587,077.44/2,814.42
  6. Step 6: Final answer
    x = 2,340.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.