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Finding the Fourth Proportional to 1,889.90, 2,830.12 and 1,194.47

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Solution

The fourth proportional to 1,889.90, 2,830.12 and 1,194.47 is: 1,788.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.90 : 2,830.12 = 1,194.47 : x
  2. Step 2: Convert to fraction form
    1,889.90/2,830.12 = 1,194.47/x
  3. Step 3: Cross multiply
    1,889.90x = 2,830.12 × 1,194.47
  4. Step 4: Simplify right side
    1,889.90x = 3,380,493.44
  5. Step 5: Solve for x
    x = 3,380,493.44/1,889.90
  6. Step 6: Final answer
    x = 1,788.72

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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.