Home / 1,971.82-2,722.35-1,367.24

Finding the Fourth Proportional to 1,971.82, 2,722.35 and 1,367.24

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Solution

The fourth proportional to 1,971.82, 2,722.35 and 1,367.24 is: 1,887.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.82 : 2,722.35 = 1,367.24 : x
  2. Step 2: Convert to fraction form
    1,971.82/2,722.35 = 1,367.24/x
  3. Step 3: Cross multiply
    1,971.82x = 2,722.35 × 1,367.24
  4. Step 4: Simplify right side
    1,971.82x = 3,722,106.86
  5. Step 5: Solve for x
    x = 3,722,106.86/1,971.82
  6. Step 6: Final answer
    x = 1,887.65

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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.