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Finding the Fourth Proportional to 13,770.65, 20,657.33 and 4,408.31

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Solution

The fourth proportional to 13,770.65, 20,657.33 and 4,408.31 is: 6,612.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.65 : 20,657.33 = 4,408.31 : x
  2. Step 2: Convert to fraction form
    13,770.65/20,657.33 = 4,408.31/x
  3. Step 3: Cross multiply
    13,770.65x = 20,657.33 × 4,408.31
  4. Step 4: Simplify right side
    13,770.65x = 91,063,914.41
  5. Step 5: Solve for x
    x = 91,063,914.41/13,770.65
  6. Step 6: Final answer
    x = 6,612.90

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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.