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Finding the Fourth Proportional to 13,644.71, 20,467.08 and 3,784.08

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Solution

The fourth proportional to 13,644.71, 20,467.08 and 3,784.08 is: 5,676.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.71 : 20,467.08 = 3,784.08 : x
  2. Step 2: Convert to fraction form
    13,644.71/20,467.08 = 3,784.08/x
  3. Step 3: Cross multiply
    13,644.71x = 20,467.08 × 3,784.08
  4. Step 4: Simplify right side
    13,644.71x = 77,449,068.09
  5. Step 5: Solve for x
    x = 77,449,068.09/13,644.71
  6. Step 6: Final answer
    x = 5,676.12

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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.