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Finding the Fourth Proportional to 3,966.90, 5,954.22 and 3,312.96

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Solution

The fourth proportional to 3,966.90, 5,954.22 and 3,312.96 is: 4,972.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.90 : 5,954.22 = 3,312.96 : x
  2. Step 2: Convert to fraction form
    3,966.90/5,954.22 = 3,312.96/x
  3. Step 3: Cross multiply
    3,966.90x = 5,954.22 × 3,312.96
  4. Step 4: Simplify right side
    3,966.90x = 19,726,092.69
  5. Step 5: Solve for x
    x = 19,726,092.69/3,966.90
  6. Step 6: Final answer
    x = 4,972.67

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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.