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Finding the Fourth Proportional to 1,998.59, 2,759.96 and 1,889.51

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Solution

The fourth proportional to 1,998.59, 2,759.96 and 1,889.51 is: 2,609.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.59 : 2,759.96 = 1,889.51 : x
  2. Step 2: Convert to fraction form
    1,998.59/2,759.96 = 1,889.51/x
  3. Step 3: Cross multiply
    1,998.59x = 2,759.96 × 1,889.51
  4. Step 4: Simplify right side
    1,998.59x = 5,214,962.57
  5. Step 5: Solve for x
    x = 5,214,962.57/1,998.59
  6. Step 6: Final answer
    x = 2,609.32

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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.