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Finding the Fourth Proportional to 5,167.78, 7,751.50 and 2,246.09

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Solution

The fourth proportional to 5,167.78, 7,751.50 and 2,246.09 is: 3,369.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.78 : 7,751.50 = 2,246.09 : x
  2. Step 2: Convert to fraction form
    5,167.78/7,751.50 = 2,246.09/x
  3. Step 3: Cross multiply
    5,167.78x = 7,751.50 × 2,246.09
  4. Step 4: Simplify right side
    5,167.78x = 17,410,516.65
  5. Step 5: Solve for x
    x = 17,410,516.65/5,167.78
  6. Step 6: Final answer
    x = 3,369.05

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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.