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Finding the Fourth Proportional to 2,766.00, 4,142.80 and 2,147.83

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Solution

The fourth proportional to 2,766.00, 4,142.80 and 2,147.83 is: 3,216.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.00 : 4,142.80 = 2,147.83 : x
  2. Step 2: Convert to fraction form
    2,766.00/4,142.80 = 2,147.83/x
  3. Step 3: Cross multiply
    2,766.00x = 4,142.80 × 2,147.83
  4. Step 4: Simplify right side
    2,766.00x = 8,898,033.67
  5. Step 5: Solve for x
    x = 8,898,033.67/2,766.00
  6. Step 6: Final answer
    x = 3,216.93

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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.