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Finding the Fourth Proportional to 16,906.65, 25,359.98 and 8,142.45

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Solution

The fourth proportional to 16,906.65, 25,359.98 and 8,142.45 is: 12,213.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,906.65 : 25,359.98 = 8,142.45 : x
  2. Step 2: Convert to fraction form
    16,906.65/25,359.98 = 8,142.45/x
  3. Step 3: Cross multiply
    16,906.65x = 25,359.98 × 8,142.45
  4. Step 4: Simplify right side
    16,906.65x = 206,492,328.44
  5. Step 5: Solve for x
    x = 206,492,328.44/16,906.65
  6. Step 6: Final answer
    x = 12,213.68

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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.