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Finding the Fourth Proportional to 13,578, 18,734.40 and 7,909.26

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Solution

The fourth proportional to 13,578, 18,734.40 and 7,909.26 is: 10,912.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578 : 18,734.40 = 7,909.26 : x
  2. Step 2: Convert to fraction form
    13,578/18,734.40 = 7,909.26/x
  3. Step 3: Cross multiply
    13,578x = 18,734.40 × 7,909.26
  4. Step 4: Simplify right side
    13,578x = 148,175,240.54
  5. Step 5: Solve for x
    x = 148,175,240.54/13,578
  6. Step 6: Final answer
    x = 10,912.89

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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.