Home / 20,969.28-31,459.37-7,821.75

Finding the Fourth Proportional to 20,969.28, 31,459.37 and 7,821.75

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Solution

The fourth proportional to 20,969.28, 31,459.37 and 7,821.75 is: 11,734.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,969.28 : 31,459.37 = 7,821.75 : x
  2. Step 2: Convert to fraction form
    20,969.28/31,459.37 = 7,821.75/x
  3. Step 3: Cross multiply
    20,969.28x = 31,459.37 × 7,821.75
  4. Step 4: Simplify right side
    20,969.28x = 246,067,288.19
  5. Step 5: Solve for x
    x = 246,067,288.19/20,969.28
  6. Step 6: Final answer
    x = 11,734.66

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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.