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Finding the Fourth Proportional to 5,314.44, 7,972.74 and 1,851.96

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Solution

The fourth proportional to 5,314.44, 7,972.74 and 1,851.96 is: 2,778.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.44 : 7,972.74 = 1,851.96 : x
  2. Step 2: Convert to fraction form
    5,314.44/7,972.74 = 1,851.96/x
  3. Step 3: Cross multiply
    5,314.44x = 7,972.74 × 1,851.96
  4. Step 4: Simplify right side
    5,314.44x = 14,765,195.57
  5. Step 5: Solve for x
    x = 14,765,195.57/5,314.44
  6. Step 6: Final answer
    x = 2,778.32

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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.