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Finding the Fourth Proportional to 13,408.68, 20,114.85 and 7,788.99

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Solution

The fourth proportional to 13,408.68, 20,114.85 and 7,788.99 is: 11,684.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.68 : 20,114.85 = 7,788.99 : x
  2. Step 2: Convert to fraction form
    13,408.68/20,114.85 = 7,788.99/x
  3. Step 3: Cross multiply
    13,408.68x = 20,114.85 × 7,788.99
  4. Step 4: Simplify right side
    13,408.68x = 156,674,365.50
  5. Step 5: Solve for x
    x = 156,674,365.50/13,408.68
  6. Step 6: Final answer
    x = 11,684.55

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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.