Home / 13,694.24-20,539-3,831.20

Finding the Fourth Proportional to 13,694.24, 20,539 and 3,831.20

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Solution

The fourth proportional to 13,694.24, 20,539 and 3,831.20 is: 5,746.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694.24 : 20,539 = 3,831.20 : x
  2. Step 2: Convert to fraction form
    13,694.24/20,539 = 3,831.20/x
  3. Step 3: Cross multiply
    13,694.24x = 20,539 × 3,831.20
  4. Step 4: Simplify right side
    13,694.24x = 78,689,016.80
  5. Step 5: Solve for x
    x = 78,689,016.80/13,694.24
  6. Step 6: Final answer
    x = 5,746.14

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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.