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Finding the Fourth Proportional to 33,415, 50,123.12 and 15,635.80

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Solution

The fourth proportional to 33,415, 50,123.12 and 15,635.80 is: 23,453.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,415 : 50,123.12 = 15,635.80 : x
  2. Step 2: Convert to fraction form
    33,415/50,123.12 = 15,635.80/x
  3. Step 3: Cross multiply
    33,415x = 50,123.12 × 15,635.80
  4. Step 4: Simplify right side
    33,415x = 783,715,079.70
  5. Step 5: Solve for x
    x = 783,715,079.70/33,415
  6. Step 6: Final answer
    x = 23,453.99

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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.