Home / 7,725.12-11,584.08-3,828

Finding the Fourth Proportional to 7,725.12, 11,584.08 and 3,828

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Solution

The fourth proportional to 7,725.12, 11,584.08 and 3,828 is: 5,740.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.12 : 11,584.08 = 3,828 : x
  2. Step 2: Convert to fraction form
    7,725.12/11,584.08 = 3,828/x
  3. Step 3: Cross multiply
    7,725.12x = 11,584.08 × 3,828
  4. Step 4: Simplify right side
    7,725.12x = 44,343,858.24
  5. Step 5: Solve for x
    x = 44,343,858.24/7,725.12
  6. Step 6: Final answer
    x = 5,740.22

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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.