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Finding the Fourth Proportional to 2,784.78, 3,842.44 and 1,665.77

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Solution

The fourth proportional to 2,784.78, 3,842.44 and 1,665.77 is: 2,298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.78 : 3,842.44 = 1,665.77 : x
  2. Step 2: Convert to fraction form
    2,784.78/3,842.44 = 1,665.77/x
  3. Step 3: Cross multiply
    2,784.78x = 3,842.44 × 1,665.77
  4. Step 4: Simplify right side
    2,784.78x = 6,400,597.90
  5. Step 5: Solve for x
    x = 6,400,597.90/2,784.78
  6. Step 6: Final answer
    x = 2,298.42

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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.