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Finding the Fourth Proportional to 2,274.63, 3,409.92 and 887.64

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Solution

The fourth proportional to 2,274.63, 3,409.92 and 887.64 is: 1,330.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.63 : 3,409.92 = 887.64 : x
  2. Step 2: Convert to fraction form
    2,274.63/3,409.92 = 887.64/x
  3. Step 3: Cross multiply
    2,274.63x = 3,409.92 × 887.64
  4. Step 4: Simplify right side
    2,274.63x = 3,026,794.88
  5. Step 5: Solve for x
    x = 3,026,794.88/2,274.63
  6. Step 6: Final answer
    x = 1,330.68

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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.