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Finding the Fourth Proportional to 30,777.96, 46,174.72 and 8,591.32

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Solution

The fourth proportional to 30,777.96, 46,174.72 and 8,591.32 is: 12,889.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,777.96 : 46,174.72 = 8,591.32 : x
  2. Step 2: Convert to fraction form
    30,777.96/46,174.72 = 8,591.32/x
  3. Step 3: Cross multiply
    30,777.96x = 46,174.72 × 8,591.32
  4. Step 4: Simplify right side
    30,777.96x = 396,701,795.43
  5. Step 5: Solve for x
    x = 396,701,795.43/30,777.96
  6. Step 6: Final answer
    x = 12,889.15

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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.