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Finding the Fourth Proportional to 20,552, 28,361.76 and 11,720

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Solution

The fourth proportional to 20,552, 28,361.76 and 11,720 is: 16,173.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,552 : 28,361.76 = 11,720 : x
  2. Step 2: Convert to fraction form
    20,552/28,361.76 = 11,720/x
  3. Step 3: Cross multiply
    20,552x = 28,361.76 × 11,720
  4. Step 4: Simplify right side
    20,552x = 332,399,827.20
  5. Step 5: Solve for x
    x = 332,399,827.20/20,552
  6. Step 6: Final answer
    x = 16,173.60

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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.