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Finding the Fourth Proportional to 7,872.70, 11,808.85 and 3,191.46

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Solution

The fourth proportional to 7,872.70, 11,808.85 and 3,191.46 is: 4,787.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.70 : 11,808.85 = 3,191.46 : x
  2. Step 2: Convert to fraction form
    7,872.70/11,808.85 = 3,191.46/x
  3. Step 3: Cross multiply
    7,872.70x = 11,808.85 × 3,191.46
  4. Step 4: Simplify right side
    7,872.70x = 37,687,413.38
  5. Step 5: Solve for x
    x = 37,687,413.38/7,872.70
  6. Step 6: Final answer
    x = 4,787.10

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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.