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Finding the Fourth Proportional to 3,973.76, 5,958.84 and 1,374.86

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Solution

The fourth proportional to 3,973.76, 5,958.84 and 1,374.86 is: 2,061.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.76 : 5,958.84 = 1,374.86 : x
  2. Step 2: Convert to fraction form
    3,973.76/5,958.84 = 1,374.86/x
  3. Step 3: Cross multiply
    3,973.76x = 5,958.84 × 1,374.86
  4. Step 4: Simplify right side
    3,973.76x = 8,192,570.76
  5. Step 5: Solve for x
    x = 8,192,570.76/3,973.76
  6. Step 6: Final answer
    x = 2,061.67

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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.