Home / 1,470.96-2,202.12-982.80

Finding the Fourth Proportional to 1,470.96, 2,202.12 and 982.80

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Solution

The fourth proportional to 1,470.96, 2,202.12 and 982.80 is: 1,471.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.96 : 2,202.12 = 982.80 : x
  2. Step 2: Convert to fraction form
    1,470.96/2,202.12 = 982.80/x
  3. Step 3: Cross multiply
    1,470.96x = 2,202.12 × 982.80
  4. Step 4: Simplify right side
    1,470.96x = 2,164,243.54
  5. Step 5: Solve for x
    x = 2,164,243.54/1,470.96
  6. Step 6: Final answer
    x = 1,471.31

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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.