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Finding the Fourth Proportional to 3,274.89, 4,904.74 and 1,884.78

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Solution

The fourth proportional to 3,274.89, 4,904.74 and 1,884.78 is: 2,822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.89 : 4,904.74 = 1,884.78 : x
  2. Step 2: Convert to fraction form
    3,274.89/4,904.74 = 1,884.78/x
  3. Step 3: Cross multiply
    3,274.89x = 4,904.74 × 1,884.78
  4. Step 4: Simplify right side
    3,274.89x = 9,244,355.86
  5. Step 5: Solve for x
    x = 9,244,355.86/3,274.89
  6. Step 6: Final answer
    x = 2,822.80

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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.