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Finding the Fourth Proportional to 3,980.46, 5,970.26 and 1,639.82

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Solution

The fourth proportional to 3,980.46, 5,970.26 and 1,639.82 is: 2,459.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.46 : 5,970.26 = 1,639.82 : x
  2. Step 2: Convert to fraction form
    3,980.46/5,970.26 = 1,639.82/x
  3. Step 3: Cross multiply
    3,980.46x = 5,970.26 × 1,639.82
  4. Step 4: Simplify right side
    3,980.46x = 9,790,151.75
  5. Step 5: Solve for x
    x = 9,790,151.75/3,980.46
  6. Step 6: Final answer
    x = 2,459.55

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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.