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Finding the Fourth Proportional to 12,872.14, 19,270.65 and 7,926.94

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Solution

The fourth proportional to 12,872.14, 19,270.65 and 7,926.94 is: 11,867.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,872.14 : 19,270.65 = 7,926.94 : x
  2. Step 2: Convert to fraction form
    12,872.14/19,270.65 = 7,926.94/x
  3. Step 3: Cross multiply
    12,872.14x = 19,270.65 × 7,926.94
  4. Step 4: Simplify right side
    12,872.14x = 152,757,286.31
  5. Step 5: Solve for x
    x = 152,757,286.31/12,872.14
  6. Step 6: Final answer
    x = 11,867.28

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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.