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Finding the Fourth Proportional to 25,085, 34,617.30 and 13,907

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Solution

The fourth proportional to 25,085, 34,617.30 and 13,907 is: 19,191.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,085 : 34,617.30 = 13,907 : x
  2. Step 2: Convert to fraction form
    25,085/34,617.30 = 13,907/x
  3. Step 3: Cross multiply
    25,085x = 34,617.30 × 13,907
  4. Step 4: Simplify right side
    25,085x = 481,422,791.10
  5. Step 5: Solve for x
    x = 481,422,791.10/25,085
  6. Step 6: Final answer
    x = 19,191.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.