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Finding the Fourth Proportional to 20,049.38, 30,074.19 and 5,258.16

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Solution

The fourth proportional to 20,049.38, 30,074.19 and 5,258.16 is: 7,887.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,049.38 : 30,074.19 = 5,258.16 : x
  2. Step 2: Convert to fraction form
    20,049.38/30,074.19 = 5,258.16/x
  3. Step 3: Cross multiply
    20,049.38x = 30,074.19 × 5,258.16
  4. Step 4: Simplify right side
    20,049.38x = 158,134,902.89
  5. Step 5: Solve for x
    x = 158,134,902.89/20,049.38
  6. Step 6: Final answer
    x = 7,887.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.