Home / 1,821.68-2,732.52-523.15

Finding the Fourth Proportional to 1,821.68, 2,732.52 and 523.15

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Solution

The fourth proportional to 1,821.68, 2,732.52 and 523.15 is: 784.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.68 : 2,732.52 = 523.15 : x
  2. Step 2: Convert to fraction form
    1,821.68/2,732.52 = 523.15/x
  3. Step 3: Cross multiply
    1,821.68x = 2,732.52 × 523.15
  4. Step 4: Simplify right side
    1,821.68x = 1,429,510.03
  5. Step 5: Solve for x
    x = 1,429,510.03/1,821.68
  6. Step 6: Final answer
    x = 784.72

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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.