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Finding the Fourth Proportional to 20,505.78, 30,747.73 and 10,620.54

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Solution

The fourth proportional to 20,505.78, 30,747.73 and 10,620.54 is: 15,925.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,505.78 : 30,747.73 = 10,620.54 : x
  2. Step 2: Convert to fraction form
    20,505.78/30,747.73 = 10,620.54/x
  3. Step 3: Cross multiply
    20,505.78x = 30,747.73 × 10,620.54
  4. Step 4: Simplify right side
    20,505.78x = 326,557,496.37
  5. Step 5: Solve for x
    x = 326,557,496.37/20,505.78
  6. Step 6: Final answer
    x = 15,925.14

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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.