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Finding the Fourth Proportional to 5,391.65, 8,087.82 and 1,694.03

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Solution

The fourth proportional to 5,391.65, 8,087.82 and 1,694.03 is: 2,541.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,391.65 : 8,087.82 = 1,694.03 : x
  2. Step 2: Convert to fraction form
    5,391.65/8,087.82 = 1,694.03/x
  3. Step 3: Cross multiply
    5,391.65x = 8,087.82 × 1,694.03
  4. Step 4: Simplify right side
    5,391.65x = 13,700,969.28
  5. Step 5: Solve for x
    x = 13,700,969.28/5,391.65
  6. Step 6: Final answer
    x = 2,541.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.