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Finding the Fourth Proportional to 13,243.40, 19,857 and 5,349.56

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Solution

The fourth proportional to 13,243.40, 19,857 and 5,349.56 is: 8,021.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,243.40 : 19,857 = 5,349.56 : x
  2. Step 2: Convert to fraction form
    13,243.40/19,857 = 5,349.56/x
  3. Step 3: Cross multiply
    13,243.40x = 19,857 × 5,349.56
  4. Step 4: Simplify right side
    13,243.40x = 106,226,212.92
  5. Step 5: Solve for x
    x = 106,226,212.92/13,243.40
  6. Step 6: Final answer
    x = 8,021.07

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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.