Home / 10,724-16,087.84-3,327.84

Finding the Fourth Proportional to 10,724, 16,087.84 and 3,327.84

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Solution

The fourth proportional to 10,724, 16,087.84 and 3,327.84 is: 4,992.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,724 : 16,087.84 = 3,327.84 : x
  2. Step 2: Convert to fraction form
    10,724/16,087.84 = 3,327.84/x
  3. Step 3: Cross multiply
    10,724x = 16,087.84 × 3,327.84
  4. Step 4: Simplify right side
    10,724x = 53,537,757.47
  5. Step 5: Solve for x
    x = 53,537,757.47/10,724
  6. Step 6: Final answer
    x = 4,992.33

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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.