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Finding the Fourth Proportional to 1,380.90, 1,900 and 1,193.80

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Solution

The fourth proportional to 1,380.90, 1,900 and 1,193.80 is: 1,642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.90 : 1,900 = 1,193.80 : x
  2. Step 2: Convert to fraction form
    1,380.90/1,900 = 1,193.80/x
  3. Step 3: Cross multiply
    1,380.90x = 1,900 × 1,193.80
  4. Step 4: Simplify right side
    1,380.90x = 2,268,220
  5. Step 5: Solve for x
    x = 2,268,220/1,380.90
  6. Step 6: Final answer
    x = 1,642.57

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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.