Home / 1,828.62-2,523.78-1,042.74

Finding the Fourth Proportional to 1,828.62, 2,523.78 and 1,042.74

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Solution

The fourth proportional to 1,828.62, 2,523.78 and 1,042.74 is: 1,439.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.62 : 2,523.78 = 1,042.74 : x
  2. Step 2: Convert to fraction form
    1,828.62/2,523.78 = 1,042.74/x
  3. Step 3: Cross multiply
    1,828.62x = 2,523.78 × 1,042.74
  4. Step 4: Simplify right side
    1,828.62x = 2,631,646.36
  5. Step 5: Solve for x
    x = 2,631,646.36/1,828.62
  6. Step 6: Final answer
    x = 1,439.14

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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.