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Finding the Fourth Proportional to 12,684.48, 19,026.96 and 3,450.48

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Solution

The fourth proportional to 12,684.48, 19,026.96 and 3,450.48 is: 5,175.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,684.48 : 19,026.96 = 3,450.48 : x
  2. Step 2: Convert to fraction form
    12,684.48/19,026.96 = 3,450.48/x
  3. Step 3: Cross multiply
    12,684.48x = 19,026.96 × 3,450.48
  4. Step 4: Simplify right side
    12,684.48x = 65,652,144.94
  5. Step 5: Solve for x
    x = 65,652,144.94/12,684.48
  6. Step 6: Final answer
    x = 5,175.79

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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.