Home / 7,829.38-11,744.80-2,564.43

Finding the Fourth Proportional to 7,829.38, 11,744.80 and 2,564.43

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Solution

The fourth proportional to 7,829.38, 11,744.80 and 2,564.43 is: 3,846.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.38 : 11,744.80 = 2,564.43 : x
  2. Step 2: Convert to fraction form
    7,829.38/11,744.80 = 2,564.43/x
  3. Step 3: Cross multiply
    7,829.38x = 11,744.80 × 2,564.43
  4. Step 4: Simplify right side
    7,829.38x = 30,118,717.46
  5. Step 5: Solve for x
    x = 30,118,717.46/7,829.38
  6. Step 6: Final answer
    x = 3,846.88

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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.