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Finding the Fourth Proportional to 7,811.96, 11,709.60 and 3,647.12

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Solution

The fourth proportional to 7,811.96, 11,709.60 and 3,647.12 is: 5,466.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.96 : 11,709.60 = 3,647.12 : x
  2. Step 2: Convert to fraction form
    7,811.96/11,709.60 = 3,647.12/x
  3. Step 3: Cross multiply
    7,811.96x = 11,709.60 × 3,647.12
  4. Step 4: Simplify right side
    7,811.96x = 42,706,316.35
  5. Step 5: Solve for x
    x = 42,706,316.35/7,811.96
  6. Step 6: Final answer
    x = 5,466.79

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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.