Home / 1,918.38-2,875.23-820.43

Finding the Fourth Proportional to 1,918.38, 2,875.23 and 820.43

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Solution

The fourth proportional to 1,918.38, 2,875.23 and 820.43 is: 1,229.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.38 : 2,875.23 = 820.43 : x
  2. Step 2: Convert to fraction form
    1,918.38/2,875.23 = 820.43/x
  3. Step 3: Cross multiply
    1,918.38x = 2,875.23 × 820.43
  4. Step 4: Simplify right side
    1,918.38x = 2,358,910.57
  5. Step 5: Solve for x
    x = 2,358,910.57/1,918.38
  6. Step 6: Final answer
    x = 1,229.64

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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.