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Finding the Fourth Proportional to 13,521.67, 20,280 and 3,659.67

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Solution

The fourth proportional to 13,521.67, 20,280 and 3,659.67 is: 5,488.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,521.67 : 20,280 = 3,659.67 : x
  2. Step 2: Convert to fraction form
    13,521.67/20,280 = 3,659.67/x
  3. Step 3: Cross multiply
    13,521.67x = 20,280 × 3,659.67
  4. Step 4: Simplify right side
    13,521.67x = 74,218,107.60
  5. Step 5: Solve for x
    x = 74,218,107.60/13,521.67
  6. Step 6: Final answer
    x = 5,488.83

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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.