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Finding the Fourth Proportional to 8,336.10, 12,509.07 and 3,074.82

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Solution

The fourth proportional to 8,336.10, 12,509.07 and 3,074.82 is: 4,614.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,336.10 : 12,509.07 = 3,074.82 : x
  2. Step 2: Convert to fraction form
    8,336.10/12,509.07 = 3,074.82/x
  3. Step 3: Cross multiply
    8,336.10x = 12,509.07 × 3,074.82
  4. Step 4: Simplify right side
    8,336.10x = 38,463,138.62
  5. Step 5: Solve for x
    x = 38,463,138.62/8,336.10
  6. Step 6: Final answer
    x = 4,614.04

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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.