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Finding the Fourth Proportional to 7,872.84, 11,751.66 and 6,938.70

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Solution

The fourth proportional to 7,872.84, 11,751.66 and 6,938.70 is: 10,357.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.84 : 11,751.66 = 6,938.70 : x
  2. Step 2: Convert to fraction form
    7,872.84/11,751.66 = 6,938.70/x
  3. Step 3: Cross multiply
    7,872.84x = 11,751.66 × 6,938.70
  4. Step 4: Simplify right side
    7,872.84x = 81,541,243.24
  5. Step 5: Solve for x
    x = 81,541,243.24/7,872.84
  6. Step 6: Final answer
    x = 10,357.28

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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.