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Finding the Fourth Proportional to 6,790, 10,185.06 and 2,686

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Solution

The fourth proportional to 6,790, 10,185.06 and 2,686 is: 4,029.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,790 : 10,185.06 = 2,686 : x
  2. Step 2: Convert to fraction form
    6,790/10,185.06 = 2,686/x
  3. Step 3: Cross multiply
    6,790x = 10,185.06 × 2,686
  4. Step 4: Simplify right side
    6,790x = 27,357,071.16
  5. Step 5: Solve for x
    x = 27,357,071.16/6,790
  6. Step 6: Final answer
    x = 4,029.02

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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.