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Finding the Fourth Proportional to 15,206.92, 20,982.99 and 8,492.30

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Solution

The fourth proportional to 15,206.92, 20,982.99 and 8,492.30 is: 11,717.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,206.92 : 20,982.99 = 8,492.30 : x
  2. Step 2: Convert to fraction form
    15,206.92/20,982.99 = 8,492.30/x
  3. Step 3: Cross multiply
    15,206.92x = 20,982.99 × 8,492.30
  4. Step 4: Simplify right side
    15,206.92x = 178,193,845.98
  5. Step 5: Solve for x
    x = 178,193,845.98/15,206.92
  6. Step 6: Final answer
    x = 11,717.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.