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Finding the Fourth Proportional to 6,790.50, 10,185.81 and 2,686.50

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Solution

The fourth proportional to 6,790.50, 10,185.81 and 2,686.50 is: 4,029.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,790.50 : 10,185.81 = 2,686.50 : x
  2. Step 2: Convert to fraction form
    6,790.50/10,185.81 = 2,686.50/x
  3. Step 3: Cross multiply
    6,790.50x = 10,185.81 × 2,686.50
  4. Step 4: Simplify right side
    6,790.50x = 27,364,178.57
  5. Step 5: Solve for x
    x = 27,364,178.57/6,790.50
  6. Step 6: Final answer
    x = 4,029.77

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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.