Home / 1,916.07-2,874.24-820.44

Finding the Fourth Proportional to 1,916.07, 2,874.24 and 820.44

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Solution

The fourth proportional to 1,916.07, 2,874.24 and 820.44 is: 1,230.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.07 : 2,874.24 = 820.44 : x
  2. Step 2: Convert to fraction form
    1,916.07/2,874.24 = 820.44/x
  3. Step 3: Cross multiply
    1,916.07x = 2,874.24 × 820.44
  4. Step 4: Simplify right side
    1,916.07x = 2,358,141.47
  5. Step 5: Solve for x
    x = 2,358,141.47/1,916.07
  6. Step 6: Final answer
    x = 1,230.72

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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.