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Finding the Fourth Proportional to 12,709.31, 19,063.97 and 3,475.31

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Solution

The fourth proportional to 12,709.31, 19,063.97 and 3,475.31 is: 5,212.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709.31 : 19,063.97 = 3,475.31 : x
  2. Step 2: Convert to fraction form
    12,709.31/19,063.97 = 3,475.31/x
  3. Step 3: Cross multiply
    12,709.31x = 19,063.97 × 3,475.31
  4. Step 4: Simplify right side
    12,709.31x = 66,253,261.93
  5. Step 5: Solve for x
    x = 66,253,261.93/12,709.31
  6. Step 6: Final answer
    x = 5,212.97

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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.