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Finding the Fourth Proportional to 1,915.92, 2,874.08 and 819.99

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Solution

The fourth proportional to 1,915.92, 2,874.08 and 819.99 is: 1,230.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.92 : 2,874.08 = 819.99 : x
  2. Step 2: Convert to fraction form
    1,915.92/2,874.08 = 819.99/x
  3. Step 3: Cross multiply
    1,915.92x = 2,874.08 × 819.99
  4. Step 4: Simplify right side
    1,915.92x = 2,356,718.91
  5. Step 5: Solve for x
    x = 2,356,718.91/1,915.92
  6. Step 6: Final answer
    x = 1,230.07

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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.