Home / 1,821.63-2,732.90-523.10

Finding the Fourth Proportional to 1,821.63, 2,732.90 and 523.10

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Solution

The fourth proportional to 1,821.63, 2,732.90 and 523.10 is: 784.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.63 : 2,732.90 = 523.10 : x
  2. Step 2: Convert to fraction form
    1,821.63/2,732.90 = 523.10/x
  3. Step 3: Cross multiply
    1,821.63x = 2,732.90 × 523.10
  4. Step 4: Simplify right side
    1,821.63x = 1,429,566.33
  5. Step 5: Solve for x
    x = 1,429,566.33/1,821.63
  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.