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Finding the Fourth Proportional to 20,325.74, 30,460.90 and 12,431

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Solution

The fourth proportional to 20,325.74, 30,460.90 and 12,431 is: 18,629.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,325.74 : 30,460.90 = 12,431 : x
  2. Step 2: Convert to fraction form
    20,325.74/30,460.90 = 12,431/x
  3. Step 3: Cross multiply
    20,325.74x = 30,460.90 × 12,431
  4. Step 4: Simplify right side
    20,325.74x = 378,659,447.90
  5. Step 5: Solve for x
    x = 378,659,447.90/20,325.74
  6. Step 6: Final answer
    x = 18,629.55

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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.