Home / 1,882.02-2,822.80-495.24

Finding the Fourth Proportional to 1,882.02, 2,822.80 and 495.24

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Solution

The fourth proportional to 1,882.02, 2,822.80 and 495.24 is: 742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.02 : 2,822.80 = 495.24 : x
  2. Step 2: Convert to fraction form
    1,882.02/2,822.80 = 495.24/x
  3. Step 3: Cross multiply
    1,882.02x = 2,822.80 × 495.24
  4. Step 4: Simplify right side
    1,882.02x = 1,397,963.47
  5. Step 5: Solve for x
    x = 1,397,963.47/1,882.02
  6. Step 6: Final answer
    x = 742.80

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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.