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Finding the Fourth Proportional to 13,728.90, 20,589.09 and 5,831.34

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Solution

The fourth proportional to 13,728.90, 20,589.09 and 5,831.34 is: 8,745.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.90 : 20,589.09 = 5,831.34 : x
  2. Step 2: Convert to fraction form
    13,728.90/20,589.09 = 5,831.34/x
  3. Step 3: Cross multiply
    13,728.90x = 20,589.09 × 5,831.34
  4. Step 4: Simplify right side
    13,728.90x = 120,061,984.08
  5. Step 5: Solve for x
    x = 120,061,984.08/13,728.90
  6. Step 6: Final answer
    x = 8,745.20

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1.5x scale

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.