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Finding the Fourth Proportional to 2,782.86, 3,840.28 and 1,523.97

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Solution

The fourth proportional to 2,782.86, 3,840.28 and 1,523.97 is: 2,103.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.86 : 3,840.28 = 1,523.97 : x
  2. Step 2: Convert to fraction form
    2,782.86/3,840.28 = 1,523.97/x
  3. Step 3: Cross multiply
    2,782.86x = 3,840.28 × 1,523.97
  4. Step 4: Simplify right side
    2,782.86x = 5,852,473.62
  5. Step 5: Solve for x
    x = 5,852,473.62/2,782.86
  6. Step 6: Final answer
    x = 2,103.04

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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.