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Finding the Fourth Proportional to 2,064.64, 3,096.36 and 677.92

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Solution

The fourth proportional to 2,064.64, 3,096.36 and 677.92 is: 1,016.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.64 : 3,096.36 = 677.92 : x
  2. Step 2: Convert to fraction form
    2,064.64/3,096.36 = 677.92/x
  3. Step 3: Cross multiply
    2,064.64x = 3,096.36 × 677.92
  4. Step 4: Simplify right side
    2,064.64x = 2,099,084.37
  5. Step 5: Solve for x
    x = 2,099,084.37/2,064.64
  6. Step 6: Final answer
    x = 1,016.68

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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.