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Finding the Fourth Proportional to 22,077, 33,107.40 and 7,281.54

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Solution

The fourth proportional to 22,077, 33,107.40 and 7,281.54 is: 10,919.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,077 : 33,107.40 = 7,281.54 : x
  2. Step 2: Convert to fraction form
    22,077/33,107.40 = 7,281.54/x
  3. Step 3: Cross multiply
    22,077x = 33,107.40 × 7,281.54
  4. Step 4: Simplify right side
    22,077x = 241,072,857.40
  5. Step 5: Solve for x
    x = 241,072,857.40/22,077
  6. Step 6: Final answer
    x = 10,919.64

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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.