Home / 1,984.47-2,971.96-1,104.78

Finding the Fourth Proportional to 1,984.47, 2,971.96 and 1,104.78

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Solution

The fourth proportional to 1,984.47, 2,971.96 and 1,104.78 is: 1,654.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.47 : 2,971.96 = 1,104.78 : x
  2. Step 2: Convert to fraction form
    1,984.47/2,971.96 = 1,104.78/x
  3. Step 3: Cross multiply
    1,984.47x = 2,971.96 × 1,104.78
  4. Step 4: Simplify right side
    1,984.47x = 3,283,356.44
  5. Step 5: Solve for x
    x = 3,283,356.44/1,984.47
  6. Step 6: Final answer
    x = 1,654.53

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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.