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Finding the Fourth Proportional to 9,415.44, 14,120.16 and 3,410.72

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Solution

The fourth proportional to 9,415.44, 14,120.16 and 3,410.72 is: 5,114.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.44 : 14,120.16 = 3,410.72 : x
  2. Step 2: Convert to fraction form
    9,415.44/14,120.16 = 3,410.72/x
  3. Step 3: Cross multiply
    9,415.44x = 14,120.16 × 3,410.72
  4. Step 4: Simplify right side
    9,415.44x = 48,159,912.12
  5. Step 5: Solve for x
    x = 48,159,912.12/9,415.44
  6. Step 6: Final answer
    x = 5,114.99

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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.