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Finding the Fourth Proportional to 12,703.05, 19,054.55 and 3,469.05

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Solution

The fourth proportional to 12,703.05, 19,054.55 and 3,469.05 is: 5,203.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.05 : 19,054.55 = 3,469.05 : x
  2. Step 2: Convert to fraction form
    12,703.05/19,054.55 = 3,469.05/x
  3. Step 3: Cross multiply
    12,703.05x = 19,054.55 × 3,469.05
  4. Step 4: Simplify right side
    12,703.05x = 66,101,169.33
  5. Step 5: Solve for x
    x = 66,101,169.33/12,703.05
  6. Step 6: Final answer
    x = 5,203.57

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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.