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Finding the Fourth Proportional to 1,880.77, 2,819.30 and 891.85

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Solution

The fourth proportional to 1,880.77, 2,819.30 and 891.85 is: 1,336.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.77 : 2,819.30 = 891.85 : x
  2. Step 2: Convert to fraction form
    1,880.77/2,819.30 = 891.85/x
  3. Step 3: Cross multiply
    1,880.77x = 2,819.30 × 891.85
  4. Step 4: Simplify right side
    1,880.77x = 2,514,388.25
  5. Step 5: Solve for x
    x = 2,514,388.25/1,880.77
  6. Step 6: Final answer
    x = 1,336.89

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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.