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Finding the Fourth Proportional to 8,206, 12,309.02 and 2,050

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Solution

The fourth proportional to 8,206, 12,309.02 and 2,050 is: 3,075.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206 : 12,309.02 = 2,050 : x
  2. Step 2: Convert to fraction form
    8,206/12,309.02 = 2,050/x
  3. Step 3: Cross multiply
    8,206x = 12,309.02 × 2,050
  4. Step 4: Simplify right side
    8,206x = 25,233,480.75
  5. Step 5: Solve for x
    x = 25,233,480.75/8,206
  6. Step 6: Final answer
    x = 3,075.00

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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.