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Finding the Fourth Proportional to 20,394.33, 30,583.26 and 7,907.78

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Solution

The fourth proportional to 20,394.33, 30,583.26 and 7,907.78 is: 11,858.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,394.33 : 30,583.26 = 7,907.78 : x
  2. Step 2: Convert to fraction form
    20,394.33/30,583.26 = 7,907.78/x
  3. Step 3: Cross multiply
    20,394.33x = 30,583.26 × 7,907.78
  4. Step 4: Simplify right side
    20,394.33x = 241,845,538.85
  5. Step 5: Solve for x
    x = 241,845,538.85/20,394.33
  6. Step 6: Final answer
    x = 11,858.47

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1.5x scale

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.