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Finding the Fourth Proportional to 2,892.74, 4,342.73 and 2,739.65

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Solution

The fourth proportional to 2,892.74, 4,342.73 and 2,739.65 is: 4,112.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.74 : 4,342.73 = 2,739.65 : x
  2. Step 2: Convert to fraction form
    2,892.74/4,342.73 = 2,739.65/x
  3. Step 3: Cross multiply
    2,892.74x = 4,342.73 × 2,739.65
  4. Step 4: Simplify right side
    2,892.74x = 11,897,524.83
  5. Step 5: Solve for x
    x = 11,897,524.83/2,892.74
  6. Step 6: Final answer
    x = 4,112.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.