Home / 1,924.46-2,654-1,428.36

Finding the Fourth Proportional to 1,924.46, 2,654 and 1,428.36

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Solution

The fourth proportional to 1,924.46, 2,654 and 1,428.36 is: 1,969.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.46 : 2,654 = 1,428.36 : x
  2. Step 2: Convert to fraction form
    1,924.46/2,654 = 1,428.36/x
  3. Step 3: Cross multiply
    1,924.46x = 2,654 × 1,428.36
  4. Step 4: Simplify right side
    1,924.46x = 3,790,867.44
  5. Step 5: Solve for x
    x = 3,790,867.44/1,924.46
  6. Step 6: Final answer
    x = 1,969.83

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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.