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Finding the Fourth Proportional to 13,180, 19,770.02 and 5,388.80

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Solution

The fourth proportional to 13,180, 19,770.02 and 5,388.80 is: 8,083.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,180 : 19,770.02 = 5,388.80 : x
  2. Step 2: Convert to fraction form
    13,180/19,770.02 = 5,388.80/x
  3. Step 3: Cross multiply
    13,180x = 19,770.02 × 5,388.80
  4. Step 4: Simplify right side
    13,180x = 106,536,683.78
  5. Step 5: Solve for x
    x = 106,536,683.78/13,180
  6. Step 6: Final answer
    x = 8,083.21

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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.