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Finding the Fourth Proportional to 20,760, 28,648.80 and 13,308

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Solution

The fourth proportional to 20,760, 28,648.80 and 13,308 is: 18,365.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,760 : 28,648.80 = 13,308 : x
  2. Step 2: Convert to fraction form
    20,760/28,648.80 = 13,308/x
  3. Step 3: Cross multiply
    20,760x = 28,648.80 × 13,308
  4. Step 4: Simplify right side
    20,760x = 381,258,230.40
  5. Step 5: Solve for x
    x = 381,258,230.40/20,760
  6. Step 6: Final answer
    x = 18,365.04

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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.