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Finding the Fourth Proportional to 1,388.21, 1,912.48 and 967.80

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Solution

The fourth proportional to 1,388.21, 1,912.48 and 967.80 is: 1,333.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.21 : 1,912.48 = 967.80 : x
  2. Step 2: Convert to fraction form
    1,388.21/1,912.48 = 967.80/x
  3. Step 3: Cross multiply
    1,388.21x = 1,912.48 × 967.80
  4. Step 4: Simplify right side
    1,388.21x = 1,850,890.94
  5. Step 5: Solve for x
    x = 1,850,890.94/1,388.21
  6. Step 6: Final answer
    x = 1,333.29

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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.