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Finding the Fourth Proportional to 11,054.44, 16,557.32 and 7,147

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Solution

The fourth proportional to 11,054.44, 16,557.32 and 7,147 is: 10,704.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,054.44 : 16,557.32 = 7,147 : x
  2. Step 2: Convert to fraction form
    11,054.44/16,557.32 = 7,147/x
  3. Step 3: Cross multiply
    11,054.44x = 16,557.32 × 7,147
  4. Step 4: Simplify right side
    11,054.44x = 118,335,166.04
  5. Step 5: Solve for x
    x = 118,335,166.04/11,054.44
  6. Step 6: Final answer
    x = 10,704.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.