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Finding the Fourth Proportional to 11,814.54, 16,305.06 and 7,098.72

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Solution

The fourth proportional to 11,814.54, 16,305.06 and 7,098.72 is: 9,796.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.54 : 16,305.06 = 7,098.72 : x
  2. Step 2: Convert to fraction form
    11,814.54/16,305.06 = 7,098.72/x
  3. Step 3: Cross multiply
    11,814.54x = 16,305.06 × 7,098.72
  4. Step 4: Simplify right side
    11,814.54x = 115,745,055.52
  5. Step 5: Solve for x
    x = 115,745,055.52/11,814.54
  6. Step 6: Final answer
    x = 9,796.83

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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.