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Finding the Fourth Proportional to 3,453.72, 5,180.57 and 856.66

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Solution

The fourth proportional to 3,453.72, 5,180.57 and 856.66 is: 1,284.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.72 : 5,180.57 = 856.66 : x
  2. Step 2: Convert to fraction form
    3,453.72/5,180.57 = 856.66/x
  3. Step 3: Cross multiply
    3,453.72x = 5,180.57 × 856.66
  4. Step 4: Simplify right side
    3,453.72x = 4,437,961.19
  5. Step 5: Solve for x
    x = 4,437,961.19/3,453.72
  6. Step 6: Final answer
    x = 1,284.98

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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.