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Finding the Fourth Proportional to 12,703.75, 19,055.76 and 3,469.75

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Solution

The fourth proportional to 12,703.75, 19,055.76 and 3,469.75 is: 5,204.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.75 : 19,055.76 = 3,469.75 : x
  2. Step 2: Convert to fraction form
    12,703.75/19,055.76 = 3,469.75/x
  3. Step 3: Cross multiply
    12,703.75x = 19,055.76 × 3,469.75
  4. Step 4: Simplify right side
    12,703.75x = 66,118,723.26
  5. Step 5: Solve for x
    x = 66,118,723.26/12,703.75
  6. Step 6: Final answer
    x = 5,204.66

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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.