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Finding the Fourth Proportional to 22,219.50, 30,662.90 and 12,147.99

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Solution

The fourth proportional to 22,219.50, 30,662.90 and 12,147.99 is: 16,764.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,219.50 : 30,662.90 = 12,147.99 : x
  2. Step 2: Convert to fraction form
    22,219.50/30,662.90 = 12,147.99/x
  3. Step 3: Cross multiply
    22,219.50x = 30,662.90 × 12,147.99
  4. Step 4: Simplify right side
    22,219.50x = 372,492,602.57
  5. Step 5: Solve for x
    x = 372,492,602.57/22,219.50
  6. Step 6: Final answer
    x = 16,764.22

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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.