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Finding the Fourth Proportional to 2,905.92, 4,007.04 and 2,076.48

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Solution

The fourth proportional to 2,905.92, 4,007.04 and 2,076.48 is: 2,863.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.92 : 4,007.04 = 2,076.48 : x
  2. Step 2: Convert to fraction form
    2,905.92/4,007.04 = 2,076.48/x
  3. Step 3: Cross multiply
    2,905.92x = 4,007.04 × 2,076.48
  4. Step 4: Simplify right side
    2,905.92x = 8,320,538.42
  5. Step 5: Solve for x
    x = 8,320,538.42/2,905.92
  6. Step 6: Final answer
    x = 2,863.31

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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.