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Finding the Fourth Proportional to 3,677.50, 5,074.95 and 2,021.50

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Solution

The fourth proportional to 3,677.50, 5,074.95 and 2,021.50 is: 2,789.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.50 : 5,074.95 = 2,021.50 : x
  2. Step 2: Convert to fraction form
    3,677.50/5,074.95 = 2,021.50/x
  3. Step 3: Cross multiply
    3,677.50x = 5,074.95 × 2,021.50
  4. Step 4: Simplify right side
    3,677.50x = 10,259,011.43
  5. Step 5: Solve for x
    x = 10,259,011.43/3,677.50
  6. Step 6: Final answer
    x = 2,789.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.