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Finding the Fourth Proportional to 30,847.96, 46,272.21 and 7,474.42

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Solution

The fourth proportional to 30,847.96, 46,272.21 and 7,474.42 is: 11,211.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,847.96 : 46,272.21 = 7,474.42 : x
  2. Step 2: Convert to fraction form
    30,847.96/46,272.21 = 7,474.42/x
  3. Step 3: Cross multiply
    30,847.96x = 46,272.21 × 7,474.42
  4. Step 4: Simplify right side
    30,847.96x = 345,857,931.87
  5. Step 5: Solve for x
    x = 345,857,931.87/30,847.96
  6. Step 6: Final answer
    x = 11,211.70

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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.