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Finding the Fourth Proportional to 6,776, 10,164.18 and 2,159

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Solution

The fourth proportional to 6,776, 10,164.18 and 2,159 is: 3,238.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776 : 10,164.18 = 2,159 : x
  2. Step 2: Convert to fraction form
    6,776/10,164.18 = 2,159/x
  3. Step 3: Cross multiply
    6,776x = 10,164.18 × 2,159
  4. Step 4: Simplify right side
    6,776x = 21,944,464.62
  5. Step 5: Solve for x
    x = 21,944,464.62/6,776
  6. Step 6: Final answer
    x = 3,238.56

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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.