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Finding the Fourth Proportional to 23,978.54, 35,974.83 and 12,299.90

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Solution

The fourth proportional to 23,978.54, 35,974.83 and 12,299.90 is: 18,453.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,978.54 : 35,974.83 = 12,299.90 : x
  2. Step 2: Convert to fraction form
    23,978.54/35,974.83 = 12,299.90/x
  3. Step 3: Cross multiply
    23,978.54x = 35,974.83 × 12,299.90
  4. Step 4: Simplify right side
    23,978.54x = 442,486,811.52
  5. Step 5: Solve for x
    x = 442,486,811.52/23,978.54
  6. Step 6: Final answer
    x = 18,453.45

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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.