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Finding the Fourth Proportional to 20,123.70, 30,214.35 and 11,375.70

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Solution

The fourth proportional to 20,123.70, 30,214.35 and 11,375.70 is: 17,079.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,123.70 : 30,214.35 = 11,375.70 : x
  2. Step 2: Convert to fraction form
    20,123.70/30,214.35 = 11,375.70/x
  3. Step 3: Cross multiply
    20,123.70x = 30,214.35 × 11,375.70
  4. Step 4: Simplify right side
    20,123.70x = 343,709,381.30
  5. Step 5: Solve for x
    x = 343,709,381.30/20,123.70
  6. Step 6: Final answer
    x = 17,079.83

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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.