Home / 2,740.80-3,780-2,043.84

Finding the Fourth Proportional to 2,740.80, 3,780 and 2,043.84

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Solution

The fourth proportional to 2,740.80, 3,780 and 2,043.84 is: 2,818.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.80 : 3,780 = 2,043.84 : x
  2. Step 2: Convert to fraction form
    2,740.80/3,780 = 2,043.84/x
  3. Step 3: Cross multiply
    2,740.80x = 3,780 × 2,043.84
  4. Step 4: Simplify right side
    2,740.80x = 7,725,715.20
  5. Step 5: Solve for x
    x = 7,725,715.20/2,740.80
  6. Step 6: Final answer
    x = 2,818.78

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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.