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Finding the Fourth Proportional to 4,660.44, 6,991.37 and 1,540.78

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Solution

The fourth proportional to 4,660.44, 6,991.37 and 1,540.78 is: 2,311.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.44 : 6,991.37 = 1,540.78 : x
  2. Step 2: Convert to fraction form
    4,660.44/6,991.37 = 1,540.78/x
  3. Step 3: Cross multiply
    4,660.44x = 6,991.37 × 1,540.78
  4. Step 4: Simplify right side
    4,660.44x = 10,772,128.11
  5. Step 5: Solve for x
    x = 10,772,128.11/4,660.44
  6. Step 6: Final answer
    x = 2,311.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.