Home / 1,882.38-2,823.74-495.72

Finding the Fourth Proportional to 1,882.38, 2,823.74 and 495.72

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Solution

The fourth proportional to 1,882.38, 2,823.74 and 495.72 is: 743.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.38 : 2,823.74 = 495.72 : x
  2. Step 2: Convert to fraction form
    1,882.38/2,823.74 = 495.72/x
  3. Step 3: Cross multiply
    1,882.38x = 2,823.74 × 495.72
  4. Step 4: Simplify right side
    1,882.38x = 1,399,784.39
  5. Step 5: Solve for x
    x = 1,399,784.39/1,882.38
  6. Step 6: Final answer
    x = 743.62

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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.