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Finding the Fourth Proportional to 2,155.20, 3,233.12 and 856.64

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Solution

The fourth proportional to 2,155.20, 3,233.12 and 856.64 is: 1,285.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.20 : 3,233.12 = 856.64 : x
  2. Step 2: Convert to fraction form
    2,155.20/3,233.12 = 856.64/x
  3. Step 3: Cross multiply
    2,155.20x = 3,233.12 × 856.64
  4. Step 4: Simplify right side
    2,155.20x = 2,769,619.92
  5. Step 5: Solve for x
    x = 2,769,619.92/2,155.20
  6. Step 6: Final answer
    x = 1,285.09

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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.