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Finding the Fourth Proportional to 1,880.84, 2,819.36 and 1,396.08

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Solution

The fourth proportional to 1,880.84, 2,819.36 and 1,396.08 is: 2,092.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.84 : 2,819.36 = 1,396.08 : x
  2. Step 2: Convert to fraction form
    1,880.84/2,819.36 = 1,396.08/x
  3. Step 3: Cross multiply
    1,880.84x = 2,819.36 × 1,396.08
  4. Step 4: Simplify right side
    1,880.84x = 3,936,052.11
  5. Step 5: Solve for x
    x = 3,936,052.11/1,880.84
  6. Step 6: Final answer
    x = 2,092.71

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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.