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Finding the Fourth Proportional to 20,052, 27,671.76 and 11,220

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Solution

The fourth proportional to 20,052, 27,671.76 and 11,220 is: 15,483.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,052 : 27,671.76 = 11,220 : x
  2. Step 2: Convert to fraction form
    20,052/27,671.76 = 11,220/x
  3. Step 3: Cross multiply
    20,052x = 27,671.76 × 11,220
  4. Step 4: Simplify right side
    20,052x = 310,477,147.20
  5. Step 5: Solve for x
    x = 310,477,147.20/20,052
  6. Step 6: Final answer
    x = 15,483.60

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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.