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Finding the Fourth Proportional to 1,377.48, 1,902.42 and 936.12

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Solution

The fourth proportional to 1,377.48, 1,902.42 and 936.12 is: 1,292.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.48 : 1,902.42 = 936.12 : x
  2. Step 2: Convert to fraction form
    1,377.48/1,902.42 = 936.12/x
  3. Step 3: Cross multiply
    1,377.48x = 1,902.42 × 936.12
  4. Step 4: Simplify right side
    1,377.48x = 1,780,893.41
  5. Step 5: Solve for x
    x = 1,780,893.41/1,377.48
  6. Step 6: Final answer
    x = 1,292.86

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