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Finding the Fourth Proportional to 8,268.96, 11,411.22 and 4,492.16

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Solution

The fourth proportional to 8,268.96, 11,411.22 and 4,492.16 is: 6,199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,268.96 : 11,411.22 = 4,492.16 : x
  2. Step 2: Convert to fraction form
    8,268.96/11,411.22 = 4,492.16/x
  3. Step 3: Cross multiply
    8,268.96x = 11,411.22 × 4,492.16
  4. Step 4: Simplify right side
    8,268.96x = 51,260,968.98
  5. Step 5: Solve for x
    x = 51,260,968.98/8,268.96
  6. Step 6: Final answer
    x = 6,199.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.