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Finding the Fourth Proportional to 3,453.96, 5,180.88 and 856.86

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Solution

The fourth proportional to 3,453.96, 5,180.88 and 856.86 is: 1,285.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.96 : 5,180.88 = 856.86 : x
  2. Step 2: Convert to fraction form
    3,453.96/5,180.88 = 856.86/x
  3. Step 3: Cross multiply
    3,453.96x = 5,180.88 × 856.86
  4. Step 4: Simplify right side
    3,453.96x = 4,439,288.84
  5. Step 5: Solve for x
    x = 4,439,288.84/3,453.96
  6. Step 6: Final answer
    x = 1,285.28

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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.