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Finding the Fourth Proportional to 33,130, 49,694.60 and 13,408.40

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Solution

The fourth proportional to 33,130, 49,694.60 and 13,408.40 is: 20,112.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,130 : 49,694.60 = 13,408.40 : x
  2. Step 2: Convert to fraction form
    33,130/49,694.60 = 13,408.40/x
  3. Step 3: Cross multiply
    33,130x = 49,694.60 × 13,408.40
  4. Step 4: Simplify right side
    33,130x = 666,325,074.64
  5. Step 5: Solve for x
    x = 666,325,074.64/33,130
  6. Step 6: Final answer
    x = 20,112.44

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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.