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Finding the Fourth Proportional to 1,376.77, 1,894.31 and 1,189.66

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Solution

The fourth proportional to 1,376.77, 1,894.31 and 1,189.66 is: 1,636.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.77 : 1,894.31 = 1,189.66 : x
  2. Step 2: Convert to fraction form
    1,376.77/1,894.31 = 1,189.66/x
  3. Step 3: Cross multiply
    1,376.77x = 1,894.31 × 1,189.66
  4. Step 4: Simplify right side
    1,376.77x = 2,253,584.83
  5. Step 5: Solve for x
    x = 2,253,584.83/1,376.77
  6. Step 6: Final answer
    x = 1,636.86

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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.