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Finding the Fourth Proportional to 14,665, 20,168.04 and 11,645.32

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Solution

The fourth proportional to 14,665, 20,168.04 and 11,645.32 is: 16,015.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,665 : 20,168.04 = 11,645.32 : x
  2. Step 2: Convert to fraction form
    14,665/20,168.04 = 11,645.32/x
  3. Step 3: Cross multiply
    14,665x = 20,168.04 × 11,645.32
  4. Step 4: Simplify right side
    14,665x = 234,863,279.57
  5. Step 5: Solve for x
    x = 234,863,279.57/14,665
  6. Step 6: Final answer
    x = 16,015.23

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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.