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Finding the Fourth Proportional to 12,578.46, 17,359.81 and 7,202.90

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Solution

The fourth proportional to 12,578.46, 17,359.81 and 7,202.90 is: 9,940.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.46 : 17,359.81 = 7,202.90 : x
  2. Step 2: Convert to fraction form
    12,578.46/17,359.81 = 7,202.90/x
  3. Step 3: Cross multiply
    12,578.46x = 17,359.81 × 7,202.90
  4. Step 4: Simplify right side
    12,578.46x = 125,040,975.45
  5. Step 5: Solve for x
    x = 125,040,975.45/12,578.46
  6. Step 6: Final answer
    x = 9,940.88

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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.