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Finding the Fourth Proportional to 1,915.99, 2,874.09 and 819.25

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Solution

The fourth proportional to 1,915.99, 2,874.09 and 819.25 is: 1,228.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.99 : 2,874.09 = 819.25 : x
  2. Step 2: Convert to fraction form
    1,915.99/2,874.09 = 819.25/x
  3. Step 3: Cross multiply
    1,915.99x = 2,874.09 × 819.25
  4. Step 4: Simplify right side
    1,915.99x = 2,354,605.42
  5. Step 5: Solve for x
    x = 2,354,605.42/1,915.99
  6. Step 6: Final answer
    x = 1,228.92

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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.