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Finding the Fourth Proportional to 2,090.87, 2,884.38 and 1,759.18

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Solution

The fourth proportional to 2,090.87, 2,884.38 and 1,759.18 is: 2,426.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.87 : 2,884.38 = 1,759.18 : x
  2. Step 2: Convert to fraction form
    2,090.87/2,884.38 = 1,759.18/x
  3. Step 3: Cross multiply
    2,090.87x = 2,884.38 × 1,759.18
  4. Step 4: Simplify right side
    2,090.87x = 5,074,143.61
  5. Step 5: Solve for x
    x = 5,074,143.61/2,090.87
  6. Step 6: Final answer
    x = 2,426.81

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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.