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Finding the Fourth Proportional to 13,780.51, 20,670.49 and 4,546.51

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Solution

The fourth proportional to 13,780.51, 20,670.49 and 4,546.51 is: 6,819.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.51 : 20,670.49 = 4,546.51 : x
  2. Step 2: Convert to fraction form
    13,780.51/20,670.49 = 4,546.51/x
  3. Step 3: Cross multiply
    13,780.51x = 20,670.49 × 4,546.51
  4. Step 4: Simplify right side
    13,780.51x = 93,978,589.49
  5. Step 5: Solve for x
    x = 93,978,589.49/13,780.51
  6. Step 6: Final answer
    x = 6,819.67

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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.