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Finding the Fourth Proportional to 8,268.86, 11,410.97 and 4,492.00

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Solution

The fourth proportional to 8,268.86, 11,410.97 and 4,492.00 is: 6,198.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,268.86 : 11,410.97 = 4,492.00 : x
  2. Step 2: Convert to fraction form
    8,268.86/11,410.97 = 4,492.00/x
  3. Step 3: Cross multiply
    8,268.86x = 11,410.97 × 4,492.00
  4. Step 4: Simplify right side
    8,268.86x = 51,258,026.25
  5. Step 5: Solve for x
    x = 51,258,026.25/8,268.86
  6. Step 6: Final answer
    x = 6,198.92

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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.