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Finding the Fourth Proportional to 2,957.80, 4,080.72 and 1,778.44

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Solution

The fourth proportional to 2,957.80, 4,080.72 and 1,778.44 is: 2,453.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.80 : 4,080.72 = 1,778.44 : x
  2. Step 2: Convert to fraction form
    2,957.80/4,080.72 = 1,778.44/x
  3. Step 3: Cross multiply
    2,957.80x = 4,080.72 × 1,778.44
  4. Step 4: Simplify right side
    2,957.80x = 7,257,315.68
  5. Step 5: Solve for x
    x = 7,257,315.68/2,957.80
  6. Step 6: Final answer
    x = 2,453.62

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1.5x scale

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.