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Finding the Fourth Proportional to 12,726, 17,561.88 and 7,138.80

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Solution

The fourth proportional to 12,726, 17,561.88 and 7,138.80 is: 9,851.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,726 : 17,561.88 = 7,138.80 : x
  2. Step 2: Convert to fraction form
    12,726/17,561.88 = 7,138.80/x
  3. Step 3: Cross multiply
    12,726x = 17,561.88 × 7,138.80
  4. Step 4: Simplify right side
    12,726x = 125,370,748.94
  5. Step 5: Solve for x
    x = 125,370,748.94/12,726
  6. Step 6: Final answer
    x = 9,851.54

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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.