Home / 13,838.24-20,766-10,083.04

Finding the Fourth Proportional to 13,838.24, 20,766 and 10,083.04

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Solution

The fourth proportional to 13,838.24, 20,766 and 10,083.04 is: 15,130.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.24 : 20,766 = 10,083.04 : x
  2. Step 2: Convert to fraction form
    13,838.24/20,766 = 10,083.04/x
  3. Step 3: Cross multiply
    13,838.24x = 20,766 × 10,083.04
  4. Step 4: Simplify right side
    13,838.24x = 209,384,408.64
  5. Step 5: Solve for x
    x = 209,384,408.64/13,838.24
  6. Step 6: Final answer
    x = 15,130.86

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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.