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Finding the Fourth Proportional to 2,784.92, 3,842.92 and 1,665.64

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Solution

The fourth proportional to 2,784.92, 3,842.92 and 1,665.64 is: 2,298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.92 : 3,842.92 = 1,665.64 : x
  2. Step 2: Convert to fraction form
    2,784.92/3,842.92 = 1,665.64/x
  3. Step 3: Cross multiply
    2,784.92x = 3,842.92 × 1,665.64
  4. Step 4: Simplify right side
    2,784.92x = 6,400,921.27
  5. Step 5: Solve for x
    x = 6,400,921.27/2,784.92
  6. Step 6: Final answer
    x = 2,298.42

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1.5x scale

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.