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Finding the Fourth Proportional to 29,978.37, 44,974.85 and 12,438.63

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Solution

The fourth proportional to 29,978.37, 44,974.85 and 12,438.63 is: 18,660.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978.37 : 44,974.85 = 12,438.63 : x
  2. Step 2: Convert to fraction form
    29,978.37/44,974.85 = 12,438.63/x
  3. Step 3: Cross multiply
    29,978.37x = 44,974.85 × 12,438.63
  4. Step 4: Simplify right side
    29,978.37x = 559,425,456.26
  5. Step 5: Solve for x
    x = 559,425,456.26/29,978.37
  6. Step 6: Final answer
    x = 18,660.97

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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.