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Finding the Fourth Proportional to 1,980.99, 2,971.42 and 941.49

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Solution

The fourth proportional to 1,980.99, 2,971.42 and 941.49 is: 1,412.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.99 : 2,971.42 = 941.49 : x
  2. Step 2: Convert to fraction form
    1,980.99/2,971.42 = 941.49/x
  3. Step 3: Cross multiply
    1,980.99x = 2,971.42 × 941.49
  4. Step 4: Simplify right side
    1,980.99x = 2,797,559.86
  5. Step 5: Solve for x
    x = 2,797,559.86/1,980.99
  6. Step 6: Final answer
    x = 1,412.20

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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.