Home / 7,828.21-11,744.25-2,281.62

Finding the Fourth Proportional to 7,828.21, 11,744.25 and 2,281.62

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Solution

The fourth proportional to 7,828.21, 11,744.25 and 2,281.62 is: 3,422.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.21 : 11,744.25 = 2,281.62 : x
  2. Step 2: Convert to fraction form
    7,828.21/11,744.25 = 2,281.62/x
  3. Step 3: Cross multiply
    7,828.21x = 11,744.25 × 2,281.62
  4. Step 4: Simplify right side
    7,828.21x = 26,795,915.69
  5. Step 5: Solve for x
    x = 26,795,915.69/7,828.21
  6. Step 6: Final answer
    x = 3,422.99

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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.