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Finding the Fourth Proportional to 19,995.70, 29,978.43 and 12,096.46

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Solution

The fourth proportional to 19,995.70, 29,978.43 and 12,096.46 is: 18,135.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,995.70 : 29,978.43 = 12,096.46 : x
  2. Step 2: Convert to fraction form
    19,995.70/29,978.43 = 12,096.46/x
  3. Step 3: Cross multiply
    19,995.70x = 29,978.43 × 12,096.46
  4. Step 4: Simplify right side
    19,995.70x = 362,632,879.36
  5. Step 5: Solve for x
    x = 362,632,879.36/19,995.70
  6. Step 6: Final answer
    x = 18,135.54

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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.