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Finding the Fourth Proportional to 4,745.76, 7,120.48 and 1,971.73

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Solution

The fourth proportional to 4,745.76, 7,120.48 and 1,971.73 is: 2,958.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.76 : 7,120.48 = 1,971.73 : x
  2. Step 2: Convert to fraction form
    4,745.76/7,120.48 = 1,971.73/x
  3. Step 3: Cross multiply
    4,745.76x = 7,120.48 × 1,971.73
  4. Step 4: Simplify right side
    4,745.76x = 14,039,664.03
  5. Step 5: Solve for x
    x = 14,039,664.03/4,745.76
  6. Step 6: Final answer
    x = 2,958.36

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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.