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Finding the Fourth Proportional to 1,374.62, 1,896.39 and 1,109.43

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Solution

The fourth proportional to 1,374.62, 1,896.39 and 1,109.43 is: 1,530.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.62 : 1,896.39 = 1,109.43 : x
  2. Step 2: Convert to fraction form
    1,374.62/1,896.39 = 1,109.43/x
  3. Step 3: Cross multiply
    1,374.62x = 1,896.39 × 1,109.43
  4. Step 4: Simplify right side
    1,374.62x = 2,103,911.96
  5. Step 5: Solve for x
    x = 2,103,911.96/1,374.62
  6. Step 6: Final answer
    x = 1,530.55

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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.