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Finding the Fourth Proportional to 7,475.57, 11,198.99 and 4,178.67

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Solution

The fourth proportional to 7,475.57, 11,198.99 and 4,178.67 is: 6,259.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,475.57 : 11,198.99 = 4,178.67 : x
  2. Step 2: Convert to fraction form
    7,475.57/11,198.99 = 4,178.67/x
  3. Step 3: Cross multiply
    7,475.57x = 11,198.99 × 4,178.67
  4. Step 4: Simplify right side
    7,475.57x = 46,796,851.99
  5. Step 5: Solve for x
    x = 46,796,851.99/7,475.57
  6. Step 6: Final answer
    x = 6,259.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.