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Finding the Fourth Proportional to 20,156.70, 30,163.05 and 12,764.70

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Solution

The fourth proportional to 20,156.70, 30,163.05 and 12,764.70 is: 19,101.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,156.70 : 30,163.05 = 12,764.70 : x
  2. Step 2: Convert to fraction form
    20,156.70/30,163.05 = 12,764.70/x
  3. Step 3: Cross multiply
    20,156.70x = 30,163.05 × 12,764.70
  4. Step 4: Simplify right side
    20,156.70x = 385,022,284.34
  5. Step 5: Solve for x
    x = 385,022,284.34/20,156.70
  6. Step 6: Final answer
    x = 19,101.45

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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.