Home / 2,561.35-3,842.63-829.97

Finding the Fourth Proportional to 2,561.35, 3,842.63 and 829.97

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Solution

The fourth proportional to 2,561.35, 3,842.63 and 829.97 is: 1,245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.35 : 3,842.63 = 829.97 : x
  2. Step 2: Convert to fraction form
    2,561.35/3,842.63 = 829.97/x
  3. Step 3: Cross multiply
    2,561.35x = 3,842.63 × 829.97
  4. Step 4: Simplify right side
    2,561.35x = 3,189,273.08
  5. Step 5: Solve for x
    x = 3,189,273.08/2,561.35
  6. Step 6: Final answer
    x = 1,245.15

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1.5x scale

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.