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Finding the Fourth Proportional to 22,161.70, 33,242.55 and 13,378.06

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Solution

The fourth proportional to 22,161.70, 33,242.55 and 13,378.06 is: 20,067.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,161.70 : 33,242.55 = 13,378.06 : x
  2. Step 2: Convert to fraction form
    22,161.70/33,242.55 = 13,378.06/x
  3. Step 3: Cross multiply
    22,161.70x = 33,242.55 × 13,378.06
  4. Step 4: Simplify right side
    22,161.70x = 444,720,595.35
  5. Step 5: Solve for x
    x = 444,720,595.35/22,161.70
  6. Step 6: Final answer
    x = 20,067.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.