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Finding the Fourth Proportional to 20,206.70, 30,238.05 and 12,814.70

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Solution

The fourth proportional to 20,206.70, 30,238.05 and 12,814.70 is: 19,176.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,206.70 : 30,238.05 = 12,814.70 : x
  2. Step 2: Convert to fraction form
    20,206.70/30,238.05 = 12,814.70/x
  3. Step 3: Cross multiply
    20,206.70x = 30,238.05 × 12,814.70
  4. Step 4: Simplify right side
    20,206.70x = 387,491,539.34
  5. Step 5: Solve for x
    x = 387,491,539.34/20,206.70
  6. Step 6: Final answer
    x = 19,176.39

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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.