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Finding the Fourth Proportional to 13,644, 20,309.76 and 13,006.80

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Solution

The fourth proportional to 13,644, 20,309.76 and 13,006.80 is: 19,361.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644 : 20,309.76 = 13,006.80 : x
  2. Step 2: Convert to fraction form
    13,644/20,309.76 = 13,006.80/x
  3. Step 3: Cross multiply
    13,644x = 20,309.76 × 13,006.80
  4. Step 4: Simplify right side
    13,644x = 264,164,986.37
  5. Step 5: Solve for x
    x = 264,164,986.37/13,644
  6. Step 6: Final answer
    x = 19,361.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.