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Finding the Fourth Proportional to 11,785.91, 16,268.00 and 7,009.21

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Solution

The fourth proportional to 11,785.91, 16,268.00 and 7,009.21 is: 9,674.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.91 : 16,268.00 = 7,009.21 : x
  2. Step 2: Convert to fraction form
    11,785.91/16,268.00 = 7,009.21/x
  3. Step 3: Cross multiply
    11,785.91x = 16,268.00 × 7,009.21
  4. Step 4: Simplify right side
    11,785.91x = 114,025,853.00
  5. Step 5: Solve for x
    x = 114,025,853.00/11,785.91
  6. Step 6: Final answer
    x = 9,674.76

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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.