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Finding the Fourth Proportional to 47,008, 70,516.94 and 13,728.16

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Solution

The fourth proportional to 47,008, 70,516.94 and 13,728.16 is: 20,593.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,008 : 70,516.94 = 13,728.16 : x
  2. Step 2: Convert to fraction form
    47,008/70,516.94 = 13,728.16/x
  3. Step 3: Cross multiply
    47,008x = 70,516.94 × 13,728.16
  4. Step 4: Simplify right side
    47,008x = 968,067,413.80
  5. Step 5: Solve for x
    x = 968,067,413.80/47,008
  6. Step 6: Final answer
    x = 20,593.67

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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.