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Finding the Fourth Proportional to 2,855, 4,282.84 and 1,005.73

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Solution

The fourth proportional to 2,855, 4,282.84 and 1,005.73 is: 1,508.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855 : 4,282.84 = 1,005.73 : x
  2. Step 2: Convert to fraction form
    2,855/4,282.84 = 1,005.73/x
  3. Step 3: Cross multiply
    2,855x = 4,282.84 × 1,005.73
  4. Step 4: Simplify right side
    2,855x = 4,307,380.67
  5. Step 5: Solve for x
    x = 4,307,380.67/2,855
  6. Step 6: Final answer
    x = 1,508.71

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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.