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Finding the Fourth Proportional to 14,589, 20,123.64 and 10,112.88

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Solution

The fourth proportional to 14,589, 20,123.64 and 10,112.88 is: 13,949.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,589 : 20,123.64 = 10,112.88 : x
  2. Step 2: Convert to fraction form
    14,589/20,123.64 = 10,112.88/x
  3. Step 3: Cross multiply
    14,589x = 20,123.64 × 10,112.88
  4. Step 4: Simplify right side
    14,589x = 203,507,956.48
  5. Step 5: Solve for x
    x = 203,507,956.48/14,589
  6. Step 6: Final answer
    x = 13,949.41

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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.