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Finding the Fourth Proportional to 7,874.80, 11,815.80 and 3,713.20

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Solution

The fourth proportional to 7,874.80, 11,815.80 and 3,713.20 is: 5,571.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.80 : 11,815.80 = 3,713.20 : x
  2. Step 2: Convert to fraction form
    7,874.80/11,815.80 = 3,713.20/x
  3. Step 3: Cross multiply
    7,874.80x = 11,815.80 × 3,713.20
  4. Step 4: Simplify right side
    7,874.80x = 43,874,428.56
  5. Step 5: Solve for x
    x = 43,874,428.56/7,874.80
  6. Step 6: Final answer
    x = 5,571.50

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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.