Home / 1,821.49-2,732.24-522.96

Finding the Fourth Proportional to 1,821.49, 2,732.24 and 522.96

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Solution

The fourth proportional to 1,821.49, 2,732.24 and 522.96 is: 784.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.49 : 2,732.24 = 522.96 : x
  2. Step 2: Convert to fraction form
    1,821.49/2,732.24 = 522.96/x
  3. Step 3: Cross multiply
    1,821.49x = 2,732.24 × 522.96
  4. Step 4: Simplify right side
    1,821.49x = 1,428,851.58
  5. Step 5: Solve for x
    x = 1,428,851.58/1,821.49
  6. Step 6: Final answer
    x = 784.44

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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.