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Finding the Fourth Proportional to 20,660.43, 28,512 and 11,707.64

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Solution

The fourth proportional to 20,660.43, 28,512 and 11,707.64 is: 16,156.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,660.43 : 28,512 = 11,707.64 : x
  2. Step 2: Convert to fraction form
    20,660.43/28,512 = 11,707.64/x
  3. Step 3: Cross multiply
    20,660.43x = 28,512 × 11,707.64
  4. Step 4: Simplify right side
    20,660.43x = 333,808,196.04
  5. Step 5: Solve for x
    x = 333,808,196.04/20,660.43
  6. Step 6: Final answer
    x = 16,156.88

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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.