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Finding the Fourth Proportional to 13,461.21, 20,195.19 and 7,919.19

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Solution

The fourth proportional to 13,461.21, 20,195.19 and 7,919.19 is: 11,880.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.21 : 20,195.19 = 7,919.19 : x
  2. Step 2: Convert to fraction form
    13,461.21/20,195.19 = 7,919.19/x
  3. Step 3: Cross multiply
    13,461.21x = 20,195.19 × 7,919.19
  4. Step 4: Simplify right side
    13,461.21x = 159,929,546.70
  5. Step 5: Solve for x
    x = 159,929,546.70/13,461.21
  6. Step 6: Final answer
    x = 11,880.77

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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.