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Finding the Fourth Proportional to 2,855.00, 4,282.52 and 1,005.77

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Solution

The fourth proportional to 2,855.00, 4,282.52 and 1,005.77 is: 1,508.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.00 : 4,282.52 = 1,005.77 : x
  2. Step 2: Convert to fraction form
    2,855.00/4,282.52 = 1,005.77/x
  3. Step 3: Cross multiply
    2,855.00x = 4,282.52 × 1,005.77
  4. Step 4: Simplify right side
    2,855.00x = 4,307,217.39
  5. Step 5: Solve for x
    x = 4,307,217.39/2,855.00
  6. Step 6: Final answer
    x = 1,508.66

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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.