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Finding the Fourth Proportional to 2,992, 4,128.12 and 2,036.56

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Solution

The fourth proportional to 2,992, 4,128.12 and 2,036.56 is: 2,809.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992 : 4,128.12 = 2,036.56 : x
  2. Step 2: Convert to fraction form
    2,992/4,128.12 = 2,036.56/x
  3. Step 3: Cross multiply
    2,992x = 4,128.12 × 2,036.56
  4. Step 4: Simplify right side
    2,992x = 8,407,164.07
  5. Step 5: Solve for x
    x = 8,407,164.07/2,992
  6. Step 6: Final answer
    x = 2,809.88

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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.