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Finding the Fourth Proportional to 1,915.42, 2,874.36 and 819.80

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Solution

The fourth proportional to 1,915.42, 2,874.36 and 819.80 is: 1,230.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.42 : 2,874.36 = 819.80 : x
  2. Step 2: Convert to fraction form
    1,915.42/2,874.36 = 819.80/x
  3. Step 3: Cross multiply
    1,915.42x = 2,874.36 × 819.80
  4. Step 4: Simplify right side
    1,915.42x = 2,356,400.33
  5. Step 5: Solve for x
    x = 2,356,400.33/1,915.42
  6. Step 6: Final answer
    x = 1,230.23

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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.