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Finding the Fourth Proportional to 12,872.54, 17,759.97 and 7,206.45

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Solution

The fourth proportional to 12,872.54, 17,759.97 and 7,206.45 is: 9,942.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,872.54 : 17,759.97 = 7,206.45 : x
  2. Step 2: Convert to fraction form
    12,872.54/17,759.97 = 7,206.45/x
  3. Step 3: Cross multiply
    12,872.54x = 17,759.97 × 7,206.45
  4. Step 4: Simplify right side
    12,872.54x = 127,986,335.81
  5. Step 5: Solve for x
    x = 127,986,335.81/12,872.54
  6. Step 6: Final answer
    x = 9,942.59

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1.5x scale

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.