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Finding the Fourth Proportional to 3,981.70, 5,957.54 and 3,577.50

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Solution

The fourth proportional to 3,981.70, 5,957.54 and 3,577.50 is: 5,352.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.70 : 5,957.54 = 3,577.50 : x
  2. Step 2: Convert to fraction form
    3,981.70/5,957.54 = 3,577.50/x
  3. Step 3: Cross multiply
    3,981.70x = 5,957.54 × 3,577.50
  4. Step 4: Simplify right side
    3,981.70x = 21,313,099.35
  5. Step 5: Solve for x
    x = 21,313,099.35/3,981.70
  6. Step 6: Final answer
    x = 5,352.76

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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.