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Finding the Fourth Proportional to 29,138.96, 43,697.34 and 10,415.54

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Solution

The fourth proportional to 29,138.96, 43,697.34 and 10,415.54 is: 15,619.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,138.96 : 43,697.34 = 10,415.54 : x
  2. Step 2: Convert to fraction form
    29,138.96/43,697.34 = 10,415.54/x
  3. Step 3: Cross multiply
    29,138.96x = 43,697.34 × 10,415.54
  4. Step 4: Simplify right side
    29,138.96x = 455,131,392.66
  5. Step 5: Solve for x
    x = 455,131,392.66/29,138.96
  6. Step 6: Final answer
    x = 15,619.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.