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Finding the Fourth Proportional to 13,481.84, 20,217.24 and 7,946.24

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Solution

The fourth proportional to 13,481.84, 20,217.24 and 7,946.24 is: 11,916.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,481.84 : 20,217.24 = 7,946.24 : x
  2. Step 2: Convert to fraction form
    13,481.84/20,217.24 = 7,946.24/x
  3. Step 3: Cross multiply
    13,481.84x = 20,217.24 × 7,946.24
  4. Step 4: Simplify right side
    13,481.84x = 160,651,041.18
  5. Step 5: Solve for x
    x = 160,651,041.18/13,481.84
  6. Step 6: Final answer
    x = 11,916.11

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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.