Home / 13,315.78-19,974.85-3,828.14

Finding the Fourth Proportional to 13,315.78, 19,974.85 and 3,828.14

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Solution

The fourth proportional to 13,315.78, 19,974.85 and 3,828.14 is: 5,742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,315.78 : 19,974.85 = 3,828.14 : x
  2. Step 2: Convert to fraction form
    13,315.78/19,974.85 = 3,828.14/x
  3. Step 3: Cross multiply
    13,315.78x = 19,974.85 × 3,828.14
  4. Step 4: Simplify right side
    13,315.78x = 76,466,621.63
  5. Step 5: Solve for x
    x = 76,466,621.63/13,315.78
  6. Step 6: Final answer
    x = 5,742.56

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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.