Home / 20,975.98-31,469.46-7,828.47

Finding the Fourth Proportional to 20,975.98, 31,469.46 and 7,828.47

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Solution

The fourth proportional to 20,975.98, 31,469.46 and 7,828.47 is: 11,744.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,975.98 : 31,469.46 = 7,828.47 : x
  2. Step 2: Convert to fraction form
    20,975.98/31,469.46 = 7,828.47/x
  3. Step 3: Cross multiply
    20,975.98x = 31,469.46 × 7,828.47
  4. Step 4: Simplify right side
    20,975.98x = 246,357,723.53
  5. Step 5: Solve for x
    x = 246,357,723.53/20,975.98
  6. Step 6: Final answer
    x = 11,744.75

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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.