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Finding the Fourth Proportional to 13,685.82, 20,528.82 and 11,831.46

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Solution

The fourth proportional to 13,685.82, 20,528.82 and 11,831.46 is: 17,747.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.82 : 20,528.82 = 11,831.46 : x
  2. Step 2: Convert to fraction form
    13,685.82/20,528.82 = 11,831.46/x
  3. Step 3: Cross multiply
    13,685.82x = 20,528.82 × 11,831.46
  4. Step 4: Simplify right side
    13,685.82x = 242,885,912.68
  5. Step 5: Solve for x
    x = 242,885,912.68/13,685.82
  6. Step 6: Final answer
    x = 17,747.27

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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.