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Finding the Fourth Proportional to 1,375.79, 1,893.84 and 1,188.14

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Solution

The fourth proportional to 1,375.79, 1,893.84 and 1,188.14 is: 1,635.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.79 : 1,893.84 = 1,188.14 : x
  2. Step 2: Convert to fraction form
    1,375.79/1,893.84 = 1,188.14/x
  3. Step 3: Cross multiply
    1,375.79x = 1,893.84 × 1,188.14
  4. Step 4: Simplify right side
    1,375.79x = 2,250,137.59
  5. Step 5: Solve for x
    x = 2,250,137.59/1,375.79
  6. Step 6: Final answer
    x = 1,635.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.