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Finding the Fourth Proportional to 20,651.96, 30,978.25 and 5,069.59

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Solution

The fourth proportional to 20,651.96, 30,978.25 and 5,069.59 is: 7,604.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,651.96 : 30,978.25 = 5,069.59 : x
  2. Step 2: Convert to fraction form
    20,651.96/30,978.25 = 5,069.59/x
  3. Step 3: Cross multiply
    20,651.96x = 30,978.25 × 5,069.59
  4. Step 4: Simplify right side
    20,651.96x = 157,046,936.30
  5. Step 5: Solve for x
    x = 157,046,936.30/20,651.96
  6. Step 6: Final answer
    x = 7,604.46

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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.