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Finding the Fourth Proportional to 13,840.49, 20,744.49 and 6,429.33

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Solution

The fourth proportional to 13,840.49, 20,744.49 and 6,429.33 is: 9,636.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840.49 : 20,744.49 = 6,429.33 : x
  2. Step 2: Convert to fraction form
    13,840.49/20,744.49 = 6,429.33/x
  3. Step 3: Cross multiply
    13,840.49x = 20,744.49 × 6,429.33
  4. Step 4: Simplify right side
    13,840.49x = 133,373,139.75
  5. Step 5: Solve for x
    x = 133,373,139.75/13,840.49
  6. Step 6: Final answer
    x = 9,636.45

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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.