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Finding the Fourth Proportional to 3,980.48, 5,969.48 and 1,447.25

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Solution

The fourth proportional to 3,980.48, 5,969.48 and 1,447.25 is: 2,170.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.48 : 5,969.48 = 1,447.25 : x
  2. Step 2: Convert to fraction form
    3,980.48/5,969.48 = 1,447.25/x
  3. Step 3: Cross multiply
    3,980.48x = 5,969.48 × 1,447.25
  4. Step 4: Simplify right side
    3,980.48x = 8,639,337.62
  5. Step 5: Solve for x
    x = 8,639,337.62/3,980.48
  6. Step 6: Final answer
    x = 2,170.42

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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.