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Finding the Fourth Proportional to 20,706.44, 31,039.14 and 8,219.12

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Solution

The fourth proportional to 20,706.44, 31,039.14 and 8,219.12 is: 12,320.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,706.44 : 31,039.14 = 8,219.12 : x
  2. Step 2: Convert to fraction form
    20,706.44/31,039.14 = 8,219.12/x
  3. Step 3: Cross multiply
    20,706.44x = 31,039.14 × 8,219.12
  4. Step 4: Simplify right side
    20,706.44x = 255,114,416.36
  5. Step 5: Solve for x
    x = 255,114,416.36/20,706.44
  6. Step 6: Final answer
    x = 12,320.53

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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.