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Finding the Fourth Proportional to 2,847.76, 4,274.37 and 2,668.71

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Solution

The fourth proportional to 2,847.76, 4,274.37 and 2,668.71 is: 4,005.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.76 : 4,274.37 = 2,668.71 : x
  2. Step 2: Convert to fraction form
    2,847.76/4,274.37 = 2,668.71/x
  3. Step 3: Cross multiply
    2,847.76x = 4,274.37 × 2,668.71
  4. Step 4: Simplify right side
    2,847.76x = 11,407,069.99
  5. Step 5: Solve for x
    x = 11,407,069.99/2,847.76
  6. Step 6: Final answer
    x = 4,005.63

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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.