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Finding the Fourth Proportional to 2,087.28, 2,876.28 and 1,694.64

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Solution

The fourth proportional to 2,087.28, 2,876.28 and 1,694.64 is: 2,335.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.28 : 2,876.28 = 1,694.64 : x
  2. Step 2: Convert to fraction form
    2,087.28/2,876.28 = 1,694.64/x
  3. Step 3: Cross multiply
    2,087.28x = 2,876.28 × 1,694.64
  4. Step 4: Simplify right side
    2,087.28x = 4,874,259.14
  5. Step 5: Solve for x
    x = 4,874,259.14/2,087.28
  6. Step 6: Final answer
    x = 2,335.22

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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.