Home / 1,815-2,724.80-1,463.80

Finding the Fourth Proportional to 1,815, 2,724.80 and 1,463.80

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Solution

The fourth proportional to 1,815, 2,724.80 and 1,463.80 is: 2,197.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815 : 2,724.80 = 1,463.80 : x
  2. Step 2: Convert to fraction form
    1,815/2,724.80 = 1,463.80/x
  3. Step 3: Cross multiply
    1,815x = 2,724.80 × 1,463.80
  4. Step 4: Simplify right side
    1,815x = 3,988,562.24
  5. Step 5: Solve for x
    x = 3,988,562.24/1,815
  6. Step 6: Final answer
    x = 2,197.55

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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.