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Finding the Fourth Proportional to 2,832.51, 3,910.74 and 1,771.87

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Solution

The fourth proportional to 2,832.51, 3,910.74 and 1,771.87 is: 2,446.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.51 : 3,910.74 = 1,771.87 : x
  2. Step 2: Convert to fraction form
    2,832.51/3,910.74 = 1,771.87/x
  3. Step 3: Cross multiply
    2,832.51x = 3,910.74 × 1,771.87
  4. Step 4: Simplify right side
    2,832.51x = 6,929,322.88
  5. Step 5: Solve for x
    x = 6,929,322.88/2,832.51
  6. Step 6: Final answer
    x = 2,446.36

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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.