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Finding the Fourth Proportional to 3,980.14, 5,971.48 and 1,641.24

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Solution

The fourth proportional to 3,980.14, 5,971.48 and 1,641.24 is: 2,462.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.14 : 5,971.48 = 1,641.24 : x
  2. Step 2: Convert to fraction form
    3,980.14/5,971.48 = 1,641.24/x
  3. Step 3: Cross multiply
    3,980.14x = 5,971.48 × 1,641.24
  4. Step 4: Simplify right side
    3,980.14x = 9,800,631.84
  5. Step 5: Solve for x
    x = 9,800,631.84/3,980.14
  6. Step 6: Final answer
    x = 2,462.38

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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.