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Finding the Fourth Proportional to 1,265.96, 1,902.36 and 1,194.68

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Solution

The fourth proportional to 1,265.96, 1,902.36 and 1,194.68 is: 1,795.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.96 : 1,902.36 = 1,194.68 : x
  2. Step 2: Convert to fraction form
    1,265.96/1,902.36 = 1,194.68/x
  3. Step 3: Cross multiply
    1,265.96x = 1,902.36 × 1,194.68
  4. Step 4: Simplify right side
    1,265.96x = 2,272,711.44
  5. Step 5: Solve for x
    x = 2,272,711.44/1,265.96
  6. Step 6: Final answer
    x = 1,795.25

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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.