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Finding the Fourth Proportional to 13,635, 18,813.06 and 7,665.48

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Solution

The fourth proportional to 13,635, 18,813.06 and 7,665.48 is: 10,576.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,635 : 18,813.06 = 7,665.48 : x
  2. Step 2: Convert to fraction form
    13,635/18,813.06 = 7,665.48/x
  3. Step 3: Cross multiply
    13,635x = 18,813.06 × 7,665.48
  4. Step 4: Simplify right side
    13,635x = 144,211,135.17
  5. Step 5: Solve for x
    x = 144,211,135.17/13,635
  6. Step 6: Final answer
    x = 10,576.54

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Why These Related Problems?

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