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Finding the Fourth Proportional to 20,651.76, 30,977.37 and 5,069.25

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Solution

The fourth proportional to 20,651.76, 30,977.37 and 5,069.25 is: 7,603.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,651.76 : 30,977.37 = 5,069.25 : x
  2. Step 2: Convert to fraction form
    20,651.76/30,977.37 = 5,069.25/x
  3. Step 3: Cross multiply
    20,651.76x = 30,977.37 × 5,069.25
  4. Step 4: Simplify right side
    20,651.76x = 157,032,032.87
  5. Step 5: Solve for x
    x = 157,032,032.87/20,651.76
  6. Step 6: Final answer
    x = 7,603.81

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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.