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Finding the Fourth Proportional to 3,080.94, 4,251.12 and 1,822.20

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Solution

The fourth proportional to 3,080.94, 4,251.12 and 1,822.20 is: 2,514.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,080.94 : 4,251.12 = 1,822.20 : x
  2. Step 2: Convert to fraction form
    3,080.94/4,251.12 = 1,822.20/x
  3. Step 3: Cross multiply
    3,080.94x = 4,251.12 × 1,822.20
  4. Step 4: Simplify right side
    3,080.94x = 7,746,368.09
  5. Step 5: Solve for x
    x = 7,746,368.09/3,080.94
  6. Step 6: Final answer
    x = 2,514.29

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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.