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Finding the Fourth Proportional to 13,605.75, 20,408.63 and 5,397.75

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Solution

The fourth proportional to 13,605.75, 20,408.63 and 5,397.75 is: 8,096.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.75 : 20,408.63 = 5,397.75 : x
  2. Step 2: Convert to fraction form
    13,605.75/20,408.63 = 5,397.75/x
  3. Step 3: Cross multiply
    13,605.75x = 20,408.63 × 5,397.75
  4. Step 4: Simplify right side
    13,605.75x = 110,160,682.58
  5. Step 5: Solve for x
    x = 110,160,682.58/13,605.75
  6. Step 6: Final answer
    x = 8,096.63

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1.5x scale

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.