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Finding the Fourth Proportional to 2,784.70, 3,843.21 and 1,605.81

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Solution

The fourth proportional to 2,784.70, 3,843.21 and 1,605.81 is: 2,216.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.70 : 3,843.21 = 1,605.81 : x
  2. Step 2: Convert to fraction form
    2,784.70/3,843.21 = 1,605.81/x
  3. Step 3: Cross multiply
    2,784.70x = 3,843.21 × 1,605.81
  4. Step 4: Simplify right side
    2,784.70x = 6,171,465.05
  5. Step 5: Solve for x
    x = 6,171,465.05/2,784.70
  6. Step 6: Final answer
    x = 2,216.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.