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Finding the Fourth Proportional to 2,080.68, 2,884.48 and 1,969.71

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Solution

The fourth proportional to 2,080.68, 2,884.48 and 1,969.71 is: 2,730.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.68 : 2,884.48 = 1,969.71 : x
  2. Step 2: Convert to fraction form
    2,080.68/2,884.48 = 1,969.71/x
  3. Step 3: Cross multiply
    2,080.68x = 2,884.48 × 1,969.71
  4. Step 4: Simplify right side
    2,080.68x = 5,681,574.68
  5. Step 5: Solve for x
    x = 5,681,574.68/2,080.68
  6. Step 6: Final answer
    x = 2,730.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.