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Finding the Fourth Proportional to 20,546, 28,354.76 and 11,714

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Solution

The fourth proportional to 20,546, 28,354.76 and 11,714 is: 16,166.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,546 : 28,354.76 = 11,714 : x
  2. Step 2: Convert to fraction form
    20,546/28,354.76 = 11,714/x
  3. Step 3: Cross multiply
    20,546x = 28,354.76 × 11,714
  4. Step 4: Simplify right side
    20,546x = 332,147,658.64
  5. Step 5: Solve for x
    x = 332,147,658.64/20,546
  6. Step 6: Final answer
    x = 16,166.05

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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.