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Finding the Fourth Proportional to 13,467.81, 18,586.60 and 7,804.09

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Solution

The fourth proportional to 13,467.81, 18,586.60 and 7,804.09 is: 10,770.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,467.81 : 18,586.60 = 7,804.09 : x
  2. Step 2: Convert to fraction form
    13,467.81/18,586.60 = 7,804.09/x
  3. Step 3: Cross multiply
    13,467.81x = 18,586.60 × 7,804.09
  4. Step 4: Simplify right side
    13,467.81x = 145,051,433.22
  5. Step 5: Solve for x
    x = 145,051,433.22/13,467.81
  6. Step 6: Final answer
    x = 10,770.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.