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Finding the Fourth Proportional to 3,240, 4,471.36 and 1,842.88

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Solution

The fourth proportional to 3,240, 4,471.36 and 1,842.88 is: 2,543.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,240 : 4,471.36 = 1,842.88 : x
  2. Step 2: Convert to fraction form
    3,240/4,471.36 = 1,842.88/x
  3. Step 3: Cross multiply
    3,240x = 4,471.36 × 1,842.88
  4. Step 4: Simplify right side
    3,240x = 8,240,179.92
  5. Step 5: Solve for x
    x = 8,240,179.92/3,240
  6. Step 6: Final answer
    x = 2,543.27

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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.