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Finding the Fourth Proportional to 13,842, 19,112.84 and 11,144.65

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Solution

The fourth proportional to 13,842, 19,112.84 and 11,144.65 is: 15,388.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842 : 19,112.84 = 11,144.65 : x
  2. Step 2: Convert to fraction form
    13,842/19,112.84 = 11,144.65/x
  3. Step 3: Cross multiply
    13,842x = 19,112.84 × 11,144.65
  4. Step 4: Simplify right side
    13,842x = 213,005,912.31
  5. Step 5: Solve for x
    x = 213,005,912.31/13,842
  6. Step 6: Final answer
    x = 15,388.38

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1.5x scale

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.