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Finding the Fourth Proportional to 2,767.26, 4,150.88 and 715.26

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Solution

The fourth proportional to 2,767.26, 4,150.88 and 715.26 is: 1,072.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.26 : 4,150.88 = 715.26 : x
  2. Step 2: Convert to fraction form
    2,767.26/4,150.88 = 715.26/x
  3. Step 3: Cross multiply
    2,767.26x = 4,150.88 × 715.26
  4. Step 4: Simplify right side
    2,767.26x = 2,968,958.43
  5. Step 5: Solve for x
    x = 2,968,958.43/2,767.26
  6. Step 6: Final answer
    x = 1,072.89

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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.