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Finding the Fourth Proportional to 12,732.75, 17,571.33 and 7,143.75

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Solution

The fourth proportional to 12,732.75, 17,571.33 and 7,143.75 is: 9,858.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,732.75 : 17,571.33 = 7,143.75 : x
  2. Step 2: Convert to fraction form
    12,732.75/17,571.33 = 7,143.75/x
  3. Step 3: Cross multiply
    12,732.75x = 17,571.33 × 7,143.75
  4. Step 4: Simplify right side
    12,732.75x = 125,525,188.69
  5. Step 5: Solve for x
    x = 125,525,188.69/12,732.75
  6. Step 6: Final answer
    x = 9,858.45

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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.