Home / 1,980.48-2,971.80-1,198.56

Finding the Fourth Proportional to 1,980.48, 2,971.80 and 1,198.56

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Solution

The fourth proportional to 1,980.48, 2,971.80 and 1,198.56 is: 1,798.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.48 : 2,971.80 = 1,198.56 : x
  2. Step 2: Convert to fraction form
    1,980.48/2,971.80 = 1,198.56/x
  3. Step 3: Cross multiply
    1,980.48x = 2,971.80 × 1,198.56
  4. Step 4: Simplify right side
    1,980.48x = 3,561,880.61
  5. Step 5: Solve for x
    x = 3,561,880.61/1,980.48
  6. Step 6: Final answer
    x = 1,798.49

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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.