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Finding the Fourth Proportional to 3,970.76, 5,926.73 and 3,503.75

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Solution

The fourth proportional to 3,970.76, 5,926.73 and 3,503.75 is: 5,229.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.76 : 5,926.73 = 3,503.75 : x
  2. Step 2: Convert to fraction form
    3,970.76/5,926.73 = 3,503.75/x
  3. Step 3: Cross multiply
    3,970.76x = 5,926.73 × 3,503.75
  4. Step 4: Simplify right side
    3,970.76x = 20,765,733.09
  5. Step 5: Solve for x
    x = 20,765,733.09/3,970.76
  6. Step 6: Final answer
    x = 5,229.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.