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Finding the Fourth Proportional to 13,189, 19,773.18 and 6,940.84

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Solution

The fourth proportional to 13,189, 19,773.18 and 6,940.84 is: 10,405.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189 : 19,773.18 = 6,940.84 : x
  2. Step 2: Convert to fraction form
    13,189/19,773.18 = 6,940.84/x
  3. Step 3: Cross multiply
    13,189x = 19,773.18 × 6,940.84
  4. Step 4: Simplify right side
    13,189x = 137,242,478.67
  5. Step 5: Solve for x
    x = 137,242,478.67/13,189
  6. Step 6: Final answer
    x = 10,405.83

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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.