Home / 1,822.10-2,732.82-523.25

Finding the Fourth Proportional to 1,822.10, 2,732.82 and 523.25

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Solution

The fourth proportional to 1,822.10, 2,732.82 and 523.25 is: 784.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.10 : 2,732.82 = 523.25 : x
  2. Step 2: Convert to fraction form
    1,822.10/2,732.82 = 523.25/x
  3. Step 3: Cross multiply
    1,822.10x = 2,732.82 × 523.25
  4. Step 4: Simplify right side
    1,822.10x = 1,429,948.07
  5. Step 5: Solve for x
    x = 1,429,948.07/1,822.10
  6. Step 6: Final answer
    x = 784.78

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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.