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Finding the Fourth Proportional to 13,576.14, 18,735.30 and 7,609.14

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Solution

The fourth proportional to 13,576.14, 18,735.30 and 7,609.14 is: 10,500.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,576.14 : 18,735.30 = 7,609.14 : x
  2. Step 2: Convert to fraction form
    13,576.14/18,735.30 = 7,609.14/x
  3. Step 3: Cross multiply
    13,576.14x = 18,735.30 × 7,609.14
  4. Step 4: Simplify right side
    13,576.14x = 142,559,520.64
  5. Step 5: Solve for x
    x = 142,559,520.64/13,576.14
  6. Step 6: Final answer
    x = 10,500.74

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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.