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Finding the Fourth Proportional to 34,505.80, 51,769.64 and 12,318.69

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Solution

The fourth proportional to 34,505.80, 51,769.64 and 12,318.69 is: 18,481.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,505.80 : 51,769.64 = 12,318.69 : x
  2. Step 2: Convert to fraction form
    34,505.80/51,769.64 = 12,318.69/x
  3. Step 3: Cross multiply
    34,505.80x = 51,769.64 × 12,318.69
  4. Step 4: Simplify right side
    34,505.80x = 637,734,146.57
  5. Step 5: Solve for x
    x = 637,734,146.57/34,505.80
  6. Step 6: Final answer
    x = 18,481.94

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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.