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Finding the Fourth Proportional to 19,586.70, 29,330.22 and 10,812

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Solution

The fourth proportional to 19,586.70, 29,330.22 and 10,812 is: 16,190.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,586.70 : 29,330.22 = 10,812 : x
  2. Step 2: Convert to fraction form
    19,586.70/29,330.22 = 10,812/x
  3. Step 3: Cross multiply
    19,586.70x = 29,330.22 × 10,812
  4. Step 4: Simplify right side
    19,586.70x = 317,118,338.64
  5. Step 5: Solve for x
    x = 317,118,338.64/19,586.70
  6. Step 6: Final answer
    x = 16,190.49

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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.