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Finding the Fourth Proportional to 14,589, 20,133.72 and 8,301.36

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Solution

The fourth proportional to 14,589, 20,133.72 and 8,301.36 is: 11,456.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,589 : 20,133.72 = 8,301.36 : x
  2. Step 2: Convert to fraction form
    14,589/20,133.72 = 8,301.36/x
  3. Step 3: Cross multiply
    14,589x = 20,133.72 × 8,301.36
  4. Step 4: Simplify right side
    14,589x = 167,137,257.86
  5. Step 5: Solve for x
    x = 167,137,257.86/14,589
  6. Step 6: Final answer
    x = 11,456.39

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1.5x scale

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.