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Finding the Fourth Proportional to 7,574.50, 11,363.78 and 2,380.38

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Solution

The fourth proportional to 7,574.50, 11,363.78 and 2,380.38 is: 3,571.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.50 : 11,363.78 = 2,380.38 : x
  2. Step 2: Convert to fraction form
    7,574.50/11,363.78 = 2,380.38/x
  3. Step 3: Cross multiply
    7,574.50x = 11,363.78 × 2,380.38
  4. Step 4: Simplify right side
    7,574.50x = 27,050,114.64
  5. Step 5: Solve for x
    x = 27,050,114.64/7,574.50
  6. Step 6: Final answer
    x = 3,571.21

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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.