Home / 1,683.12-2,322.54-936.90

Finding the Fourth Proportional to 1,683.12, 2,322.54 and 936.90

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Solution

The fourth proportional to 1,683.12, 2,322.54 and 936.90 is: 1,292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.12 : 2,322.54 = 936.90 : x
  2. Step 2: Convert to fraction form
    1,683.12/2,322.54 = 936.90/x
  3. Step 3: Cross multiply
    1,683.12x = 2,322.54 × 936.90
  4. Step 4: Simplify right side
    1,683.12x = 2,175,987.73
  5. Step 5: Solve for x
    x = 2,175,987.73/1,683.12
  6. Step 6: Final answer
    x = 1,292.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.