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Finding the Fourth Proportional to 3,937, 5,433.06 and 2,168.60

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Solution

The fourth proportional to 3,937, 5,433.06 and 2,168.60 is: 2,992.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937 : 5,433.06 = 2,168.60 : x
  2. Step 2: Convert to fraction form
    3,937/5,433.06 = 2,168.60/x
  3. Step 3: Cross multiply
    3,937x = 5,433.06 × 2,168.60
  4. Step 4: Simplify right side
    3,937x = 11,782,133.92
  5. Step 5: Solve for x
    x = 11,782,133.92/3,937
  6. Step 6: Final answer
    x = 2,992.67

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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.