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Finding the Fourth Proportional to 15,076.42, 20,781.42 and 11,884.51

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Solution

The fourth proportional to 15,076.42, 20,781.42 and 11,884.51 is: 16,381.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,076.42 : 20,781.42 = 11,884.51 : x
  2. Step 2: Convert to fraction form
    15,076.42/20,781.42 = 11,884.51/x
  3. Step 3: Cross multiply
    15,076.42x = 20,781.42 × 11,884.51
  4. Step 4: Simplify right side
    15,076.42x = 246,976,993.80
  5. Step 5: Solve for x
    x = 246,976,993.80/15,076.42
  6. Step 6: Final answer
    x = 16,381.67

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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.