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Finding the Fourth Proportional to 11,770.40, 17,650.20 and 5,193.20

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Solution

The fourth proportional to 11,770.40, 17,650.20 and 5,193.20 is: 7,787.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.40 : 17,650.20 = 5,193.20 : x
  2. Step 2: Convert to fraction form
    11,770.40/17,650.20 = 5,193.20/x
  3. Step 3: Cross multiply
    11,770.40x = 17,650.20 × 5,193.20
  4. Step 4: Simplify right side
    11,770.40x = 91,661,018.64
  5. Step 5: Solve for x
    x = 91,661,018.64/11,770.40
  6. Step 6: Final answer
    x = 7,787.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.