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Finding the Fourth Proportional to 21,811.21, 30,101.03 and 12,380.38

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Solution

The fourth proportional to 21,811.21, 30,101.03 and 12,380.38 is: 17,085.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,811.21 : 30,101.03 = 12,380.38 : x
  2. Step 2: Convert to fraction form
    21,811.21/30,101.03 = 12,380.38/x
  3. Step 3: Cross multiply
    21,811.21x = 30,101.03 × 12,380.38
  4. Step 4: Simplify right side
    21,811.21x = 372,662,189.79
  5. Step 5: Solve for x
    x = 372,662,189.79/21,811.21
  6. Step 6: Final answer
    x = 17,085.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.