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Finding the Fourth Proportional to 20,652.03, 30,978.15 and 5,069.66

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Solution

The fourth proportional to 20,652.03, 30,978.15 and 5,069.66 is: 7,604.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,652.03 : 30,978.15 = 5,069.66 : x
  2. Step 2: Convert to fraction form
    20,652.03/30,978.15 = 5,069.66/x
  3. Step 3: Cross multiply
    20,652.03x = 30,978.15 × 5,069.66
  4. Step 4: Simplify right side
    20,652.03x = 157,048,507.69
  5. Step 5: Solve for x
    x = 157,048,507.69/20,652.03
  6. Step 6: Final answer
    x = 7,604.51

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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.