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Finding the Fourth Proportional to 8,268.19, 11,410.19 and 4,491.40

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Solution

The fourth proportional to 8,268.19, 11,410.19 and 4,491.40 is: 6,198.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,268.19 : 11,410.19 = 4,491.40 : x
  2. Step 2: Convert to fraction form
    8,268.19/11,410.19 = 4,491.40/x
  3. Step 3: Cross multiply
    8,268.19x = 11,410.19 × 4,491.40
  4. Step 4: Simplify right side
    8,268.19x = 51,247,647.86
  5. Step 5: Solve for x
    x = 51,247,647.86/8,268.19
  6. Step 6: Final answer
    x = 6,198.17

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Why These Related Problems?

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