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Finding the Fourth Proportional to 2,152.48, 3,231.96 and 856.48

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Solution

The fourth proportional to 2,152.48, 3,231.96 and 856.48 is: 1,286.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.48 : 3,231.96 = 856.48 : x
  2. Step 2: Convert to fraction form
    2,152.48/3,231.96 = 856.48/x
  3. Step 3: Cross multiply
    2,152.48x = 3,231.96 × 856.48
  4. Step 4: Simplify right side
    2,152.48x = 2,768,109.10
  5. Step 5: Solve for x
    x = 2,768,109.10/2,152.48
  6. Step 6: Final answer
    x = 1,286.01

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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.