Home / 1,984.04-2,976.22-523.19

Finding the Fourth Proportional to 1,984.04, 2,976.22 and 523.19

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Solution

The fourth proportional to 1,984.04, 2,976.22 and 523.19 is: 784.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.04 : 2,976.22 = 523.19 : x
  2. Step 2: Convert to fraction form
    1,984.04/2,976.22 = 523.19/x
  3. Step 3: Cross multiply
    1,984.04x = 2,976.22 × 523.19
  4. Step 4: Simplify right side
    1,984.04x = 1,557,134.67
  5. Step 5: Solve for x
    x = 1,557,134.67/1,984.04
  6. Step 6: Final answer
    x = 784.83

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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.