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Finding the Fourth Proportional to 13,744.51, 20,602.89 and 5,419.94

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Solution

The fourth proportional to 13,744.51, 20,602.89 and 5,419.94 is: 8,124.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.51 : 20,602.89 = 5,419.94 : x
  2. Step 2: Convert to fraction form
    13,744.51/20,602.89 = 5,419.94/x
  3. Step 3: Cross multiply
    13,744.51x = 20,602.89 × 5,419.94
  4. Step 4: Simplify right side
    13,744.51x = 111,666,324.61
  5. Step 5: Solve for x
    x = 111,666,324.61/13,744.51
  6. Step 6: Final answer
    x = 8,124.43

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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.