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Finding the Fourth Proportional to 12,872.67, 17,762.72 and 7,206.97

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Solution

The fourth proportional to 12,872.67, 17,762.72 and 7,206.97 is: 9,944.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,872.67 : 17,762.72 = 7,206.97 : x
  2. Step 2: Convert to fraction form
    12,872.67/17,762.72 = 7,206.97/x
  3. Step 3: Cross multiply
    12,872.67x = 17,762.72 × 7,206.97
  4. Step 4: Simplify right side
    12,872.67x = 128,015,383.56
  5. Step 5: Solve for x
    x = 128,015,383.56/12,872.67
  6. Step 6: Final answer
    x = 9,944.75

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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.