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Finding the Fourth Proportional to 3,178.33, 4,767.57 and 838.57

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Solution

The fourth proportional to 3,178.33, 4,767.57 and 838.57 is: 1,257.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.33 : 4,767.57 = 838.57 : x
  2. Step 2: Convert to fraction form
    3,178.33/4,767.57 = 838.57/x
  3. Step 3: Cross multiply
    3,178.33x = 4,767.57 × 838.57
  4. Step 4: Simplify right side
    3,178.33x = 3,997,945.04
  5. Step 5: Solve for x
    x = 3,997,945.04/3,178.33
  6. Step 6: Final answer
    x = 1,257.88

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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.