Home / 9,828-13,564.26-5,635.44

Finding the Fourth Proportional to 9,828, 13,564.26 and 5,635.44

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Solution

The fourth proportional to 9,828, 13,564.26 and 5,635.44 is: 7,777.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828 : 13,564.26 = 5,635.44 : x
  2. Step 2: Convert to fraction form
    9,828/13,564.26 = 5,635.44/x
  3. Step 3: Cross multiply
    9,828x = 13,564.26 × 5,635.44
  4. Step 4: Simplify right side
    9,828x = 76,440,573.37
  5. Step 5: Solve for x
    x = 76,440,573.37/9,828
  6. Step 6: Final answer
    x = 7,777.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.