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Finding the Fourth Proportional to 3,178.52, 4,767.23 and 838.54

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Solution

The fourth proportional to 3,178.52, 4,767.23 and 838.54 is: 1,257.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.52 : 4,767.23 = 838.54 : x
  2. Step 2: Convert to fraction form
    3,178.52/4,767.23 = 838.54/x
  3. Step 3: Cross multiply
    3,178.52x = 4,767.23 × 838.54
  4. Step 4: Simplify right side
    3,178.52x = 3,997,534.66
  5. Step 5: Solve for x
    x = 3,997,534.66/3,178.52
  6. Step 6: Final answer
    x = 1,257.67

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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.