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Finding the Fourth Proportional to 18,392, 25,380.96 and 10,008.56

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Solution

The fourth proportional to 18,392, 25,380.96 and 10,008.56 is: 13,811.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,392 : 25,380.96 = 10,008.56 : x
  2. Step 2: Convert to fraction form
    18,392/25,380.96 = 10,008.56/x
  3. Step 3: Cross multiply
    18,392x = 25,380.96 × 10,008.56
  4. Step 4: Simplify right side
    18,392x = 254,026,861.02
  5. Step 5: Solve for x
    x = 254,026,861.02/18,392
  6. Step 6: Final answer
    x = 13,811.81

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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.