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Finding the Fourth Proportional to 3,453.82, 5,180.71 and 856.75

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Solution

The fourth proportional to 3,453.82, 5,180.71 and 856.75 is: 1,285.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.82 : 5,180.71 = 856.75 : x
  2. Step 2: Convert to fraction form
    3,453.82/5,180.71 = 856.75/x
  3. Step 3: Cross multiply
    3,453.82x = 5,180.71 × 856.75
  4. Step 4: Simplify right side
    3,453.82x = 4,438,573.29
  5. Step 5: Solve for x
    x = 4,438,573.29/3,453.82
  6. Step 6: Final answer
    x = 1,285.12

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Double scale
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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.