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Finding the Fourth Proportional to 22,268.64, 33,405.12 and 7,477.68

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Solution

The fourth proportional to 22,268.64, 33,405.12 and 7,477.68 is: 11,217.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,268.64 : 33,405.12 = 7,477.68 : x
  2. Step 2: Convert to fraction form
    22,268.64/33,405.12 = 7,477.68/x
  3. Step 3: Cross multiply
    22,268.64x = 33,405.12 × 7,477.68
  4. Step 4: Simplify right side
    22,268.64x = 249,792,797.72
  5. Step 5: Solve for x
    x = 249,792,797.72/22,268.64
  6. Step 6: Final answer
    x = 11,217.25

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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.