Home / 1,993.32-2,990.57-823.39

Finding the Fourth Proportional to 1,993.32, 2,990.57 and 823.39

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Solution

The fourth proportional to 1,993.32, 2,990.57 and 823.39 is: 1,235.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.32 : 2,990.57 = 823.39 : x
  2. Step 2: Convert to fraction form
    1,993.32/2,990.57 = 823.39/x
  3. Step 3: Cross multiply
    1,993.32x = 2,990.57 × 823.39
  4. Step 4: Simplify right side
    1,993.32x = 2,462,402.97
  5. Step 5: Solve for x
    x = 2,462,402.97/1,993.32
  6. Step 6: Final answer
    x = 1,235.33

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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.