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Finding the Fourth Proportional to 2,784.97, 3,842.40 and 1,605.61

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Solution

The fourth proportional to 2,784.97, 3,842.40 and 1,605.61 is: 2,215.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.97 : 3,842.40 = 1,605.61 : x
  2. Step 2: Convert to fraction form
    2,784.97/3,842.40 = 1,605.61/x
  3. Step 3: Cross multiply
    2,784.97x = 3,842.40 × 1,605.61
  4. Step 4: Simplify right side
    2,784.97x = 6,169,395.86
  5. Step 5: Solve for x
    x = 6,169,395.86/2,784.97
  6. Step 6: Final answer
    x = 2,215.25

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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.