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Finding the Fourth Proportional to 3,240, 4,471.20 and 2,311.20

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Solution

The fourth proportional to 3,240, 4,471.20 and 2,311.20 is: 3,189.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,240 : 4,471.20 = 2,311.20 : x
  2. Step 2: Convert to fraction form
    3,240/4,471.20 = 2,311.20/x
  3. Step 3: Cross multiply
    3,240x = 4,471.20 × 2,311.20
  4. Step 4: Simplify right side
    3,240x = 10,333,837.44
  5. Step 5: Solve for x
    x = 10,333,837.44/3,240
  6. Step 6: Final answer
    x = 3,189.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.