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Finding the Fourth Proportional to 13,883.80, 20,828.40 and 4,023.40

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Solution

The fourth proportional to 13,883.80, 20,828.40 and 4,023.40 is: 6,035.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,883.80 : 20,828.40 = 4,023.40 : x
  2. Step 2: Convert to fraction form
    13,883.80/20,828.40 = 4,023.40/x
  3. Step 3: Cross multiply
    13,883.80x = 20,828.40 × 4,023.40
  4. Step 4: Simplify right side
    13,883.80x = 83,800,984.56
  5. Step 5: Solve for x
    x = 83,800,984.56/13,883.80
  6. Step 6: Final answer
    x = 6,035.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.