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Finding the Fourth Proportional to 7,872.82, 11,751.63 and 6,938.68

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Solution

The fourth proportional to 7,872.82, 11,751.63 and 6,938.68 is: 10,357.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.82 : 11,751.63 = 6,938.68 : x
  2. Step 2: Convert to fraction form
    7,872.82/11,751.63 = 6,938.68/x
  3. Step 3: Cross multiply
    7,872.82x = 11,751.63 × 6,938.68
  4. Step 4: Simplify right side
    7,872.82x = 81,540,800.05
  5. Step 5: Solve for x
    x = 81,540,800.05/7,872.82
  6. Step 6: Final answer
    x = 10,357.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.