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Finding the Fourth Proportional to 3,937.68, 5,906.52 and 3,697.11

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Solution

The fourth proportional to 3,937.68, 5,906.52 and 3,697.11 is: 5,545.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.68 : 5,906.52 = 3,697.11 : x
  2. Step 2: Convert to fraction form
    3,937.68/5,906.52 = 3,697.11/x
  3. Step 3: Cross multiply
    3,937.68x = 5,906.52 × 3,697.11
  4. Step 4: Simplify right side
    3,937.68x = 21,837,048.63
  5. Step 5: Solve for x
    x = 21,837,048.63/3,937.68
  6. Step 6: Final answer
    x = 5,545.67

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1.5x scale

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.