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Finding the Fourth Proportional to 13,408.80, 20,122.80 and 7,559.20

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Solution

The fourth proportional to 13,408.80, 20,122.80 and 7,559.20 is: 11,344.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.80 : 20,122.80 = 7,559.20 : x
  2. Step 2: Convert to fraction form
    13,408.80/20,122.80 = 7,559.20/x
  3. Step 3: Cross multiply
    13,408.80x = 20,122.80 × 7,559.20
  4. Step 4: Simplify right side
    13,408.80x = 152,112,269.76
  5. Step 5: Solve for x
    x = 152,112,269.76/13,408.80
  6. Step 6: Final answer
    x = 11,344.21

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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.