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Finding the Fourth Proportional to 20,612.16, 28,443 and 11,660

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Solution

The fourth proportional to 20,612.16, 28,443 and 11,660 is: 16,089.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,612.16 : 28,443 = 11,660 : x
  2. Step 2: Convert to fraction form
    20,612.16/28,443 = 11,660/x
  3. Step 3: Cross multiply
    20,612.16x = 28,443 × 11,660
  4. Step 4: Simplify right side
    20,612.16x = 331,645,380
  5. Step 5: Solve for x
    x = 331,645,380/20,612.16
  6. Step 6: Final answer
    x = 16,089.79

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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.