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Finding the Fourth Proportional to 13,600.40, 20,400.60 and 5,166.80

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Solution

The fourth proportional to 13,600.40, 20,400.60 and 5,166.80 is: 7,750.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,600.40 : 20,400.60 = 5,166.80 : x
  2. Step 2: Convert to fraction form
    13,600.40/20,400.60 = 5,166.80/x
  3. Step 3: Cross multiply
    13,600.40x = 20,400.60 × 5,166.80
  4. Step 4: Simplify right side
    13,600.40x = 105,405,820.08
  5. Step 5: Solve for x
    x = 105,405,820.08/13,600.40
  6. Step 6: Final answer
    x = 7,750.20

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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.