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Finding the Fourth Proportional to 8,119.83, 12,179.84 and 2,855.00

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Solution

The fourth proportional to 8,119.83, 12,179.84 and 2,855.00 is: 4,282.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.83 : 12,179.84 = 2,855.00 : x
  2. Step 2: Convert to fraction form
    8,119.83/12,179.84 = 2,855.00/x
  3. Step 3: Cross multiply
    8,119.83x = 12,179.84 × 2,855.00
  4. Step 4: Simplify right side
    8,119.83x = 34,773,368.03
  5. Step 5: Solve for x
    x = 34,773,368.03/8,119.83
  6. Step 6: Final answer
    x = 4,282.52

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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.