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Finding the Fourth Proportional to 29,947.20, 44,917.20 and 12,415.20

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Solution

The fourth proportional to 29,947.20, 44,917.20 and 12,415.20 is: 18,621.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,947.20 : 44,917.20 = 12,415.20 : x
  2. Step 2: Convert to fraction form
    29,947.20/44,917.20 = 12,415.20/x
  3. Step 3: Cross multiply
    29,947.20x = 44,917.20 × 12,415.20
  4. Step 4: Simplify right side
    29,947.20x = 557,656,021.44
  5. Step 5: Solve for x
    x = 557,656,021.44/29,947.20
  6. Step 6: Final answer
    x = 18,621.31

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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.