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Finding the Fourth Proportional to 3,980.03, 5,965.93 and 1,346.67

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Solution

The fourth proportional to 3,980.03, 5,965.93 and 1,346.67 is: 2,018.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.03 : 5,965.93 = 1,346.67 : x
  2. Step 2: Convert to fraction form
    3,980.03/5,965.93 = 1,346.67/x
  3. Step 3: Cross multiply
    3,980.03x = 5,965.93 × 1,346.67
  4. Step 4: Simplify right side
    3,980.03x = 8,034,102.39
  5. Step 5: Solve for x
    x = 8,034,102.39/3,980.03
  6. Step 6: Final answer
    x = 2,018.61

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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.