Home / 3,884-5,828.56-1,832.16

Finding the Fourth Proportional to 3,884, 5,828.56 and 1,832.16

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Solution

The fourth proportional to 3,884, 5,828.56 and 1,832.16 is: 2,749.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884 : 5,828.56 = 1,832.16 : x
  2. Step 2: Convert to fraction form
    3,884/5,828.56 = 1,832.16/x
  3. Step 3: Cross multiply
    3,884x = 5,828.56 × 1,832.16
  4. Step 4: Simplify right side
    3,884x = 10,678,854.49
  5. Step 5: Solve for x
    x = 10,678,854.49/3,884
  6. Step 6: Final answer
    x = 2,749.45

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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.