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Finding the Fourth Proportional to 12,772.54, 19,142.18 and 7,149.97

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Solution

The fourth proportional to 12,772.54, 19,142.18 and 7,149.97 is: 10,715.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,772.54 : 19,142.18 = 7,149.97 : x
  2. Step 2: Convert to fraction form
    12,772.54/19,142.18 = 7,149.97/x
  3. Step 3: Cross multiply
    12,772.54x = 19,142.18 × 7,149.97
  4. Step 4: Simplify right side
    12,772.54x = 136,866,012.73
  5. Step 5: Solve for x
    x = 136,866,012.73/12,772.54
  6. Step 6: Final answer
    x = 10,715.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.