Home / 2,208.71-3,314.01-823.07

Finding the Fourth Proportional to 2,208.71, 3,314.01 and 823.07

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Solution

The fourth proportional to 2,208.71, 3,314.01 and 823.07 is: 1,234.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.71 : 3,314.01 = 823.07 : x
  2. Step 2: Convert to fraction form
    2,208.71/3,314.01 = 823.07/x
  3. Step 3: Cross multiply
    2,208.71x = 3,314.01 × 823.07
  4. Step 4: Simplify right side
    2,208.71x = 2,727,662.21
  5. Step 5: Solve for x
    x = 2,727,662.21/2,208.71
  6. Step 6: Final answer
    x = 1,234.96

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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.