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Finding the Fourth Proportional to 7,813.66, 11,704.79 and 3,647.92

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Solution

The fourth proportional to 7,813.66, 11,704.79 and 3,647.92 is: 5,464.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.66 : 11,704.79 = 3,647.92 : x
  2. Step 2: Convert to fraction form
    7,813.66/11,704.79 = 3,647.92/x
  3. Step 3: Cross multiply
    7,813.66x = 11,704.79 × 3,647.92
  4. Step 4: Simplify right side
    7,813.66x = 42,698,119.30
  5. Step 5: Solve for x
    x = 42,698,119.30/7,813.66
  6. Step 6: Final answer
    x = 5,464.55

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Why These Related Problems?

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