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Finding the Fourth Proportional to 2,796.74, 4,188.95 and 1,867.94

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Solution

The fourth proportional to 2,796.74, 4,188.95 and 1,867.94 is: 2,797.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.74 : 4,188.95 = 1,867.94 : x
  2. Step 2: Convert to fraction form
    2,796.74/4,188.95 = 1,867.94/x
  3. Step 3: Cross multiply
    2,796.74x = 4,188.95 × 1,867.94
  4. Step 4: Simplify right side
    2,796.74x = 7,824,707.26
  5. Step 5: Solve for x
    x = 7,824,707.26/2,796.74
  6. Step 6: Final answer
    x = 2,797.80

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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.