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Finding the Fourth Proportional to 3,195.36, 4,411.80 and 2,448

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Solution

The fourth proportional to 3,195.36, 4,411.80 and 2,448 is: 3,379.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195.36 : 4,411.80 = 2,448 : x
  2. Step 2: Convert to fraction form
    3,195.36/4,411.80 = 2,448/x
  3. Step 3: Cross multiply
    3,195.36x = 4,411.80 × 2,448
  4. Step 4: Simplify right side
    3,195.36x = 10,800,086.40
  5. Step 5: Solve for x
    x = 10,800,086.40/3,195.36
  6. Step 6: Final answer
    x = 3,379.93

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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.