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Finding the Fourth Proportional to 3,971.96, 5,957.94 and 1,374.90

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Solution

The fourth proportional to 3,971.96, 5,957.94 and 1,374.90 is: 2,062.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.96 : 5,957.94 = 1,374.90 : x
  2. Step 2: Convert to fraction form
    3,971.96/5,957.94 = 1,374.90/x
  3. Step 3: Cross multiply
    3,971.96x = 5,957.94 × 1,374.90
  4. Step 4: Simplify right side
    3,971.96x = 8,191,556.81
  5. Step 5: Solve for x
    x = 8,191,556.81/3,971.96
  6. Step 6: Final answer
    x = 2,062.35

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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.