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Finding the Fourth Proportional to 9,225.30, 13,844.22 and 3,382.50

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Solution

The fourth proportional to 9,225.30, 13,844.22 and 3,382.50 is: 5,076.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.30 : 13,844.22 = 3,382.50 : x
  2. Step 2: Convert to fraction form
    9,225.30/13,844.22 = 3,382.50/x
  3. Step 3: Cross multiply
    9,225.30x = 13,844.22 × 3,382.50
  4. Step 4: Simplify right side
    9,225.30x = 46,828,074.15
  5. Step 5: Solve for x
    x = 46,828,074.15/9,225.30
  6. Step 6: Final answer
    x = 5,076.05

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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.