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Finding the Fourth Proportional to 11,740, 16,201.68 and 6,772

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Solution

The fourth proportional to 11,740, 16,201.68 and 6,772 is: 9,345.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,740 : 16,201.68 = 6,772 : x
  2. Step 2: Convert to fraction form
    11,740/16,201.68 = 6,772/x
  3. Step 3: Cross multiply
    11,740x = 16,201.68 × 6,772
  4. Step 4: Simplify right side
    11,740x = 109,717,776.96
  5. Step 5: Solve for x
    x = 109,717,776.96/11,740
  6. Step 6: Final answer
    x = 9,345.64

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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.