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Finding the Fourth Proportional to 3,076.92, 4,611.72 and 1,775.64

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Solution

The fourth proportional to 3,076.92, 4,611.72 and 1,775.64 is: 2,661.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.92 : 4,611.72 = 1,775.64 : x
  2. Step 2: Convert to fraction form
    3,076.92/4,611.72 = 1,775.64/x
  3. Step 3: Cross multiply
    3,076.92x = 4,611.72 × 1,775.64
  4. Step 4: Simplify right side
    3,076.92x = 8,188,754.50
  5. Step 5: Solve for x
    x = 8,188,754.50/3,076.92
  6. Step 6: Final answer
    x = 2,661.35

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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.