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Finding the Fourth Proportional to 2,784.96, 3,842.97 and 1,605.81

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Solution

The fourth proportional to 2,784.96, 3,842.97 and 1,605.81 is: 2,215.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.96 : 3,842.97 = 1,605.81 : x
  2. Step 2: Convert to fraction form
    2,784.96/3,842.97 = 1,605.81/x
  3. Step 3: Cross multiply
    2,784.96x = 3,842.97 × 1,605.81
  4. Step 4: Simplify right side
    2,784.96x = 6,171,079.66
  5. Step 5: Solve for x
    x = 6,171,079.66/2,784.96
  6. Step 6: Final answer
    x = 2,215.86

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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.