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Finding the Fourth Proportional to 3,205, 4,808.34 and 2,856

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Solution

The fourth proportional to 3,205, 4,808.34 and 2,856 is: 4,284.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205 : 4,808.34 = 2,856 : x
  2. Step 2: Convert to fraction form
    3,205/4,808.34 = 2,856/x
  3. Step 3: Cross multiply
    3,205x = 4,808.34 × 2,856
  4. Step 4: Simplify right side
    3,205x = 13,732,619.04
  5. Step 5: Solve for x
    x = 13,732,619.04/3,205
  6. Step 6: Final answer
    x = 4,284.75

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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.