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Finding the Fourth Proportional to 2,623.53, 3,935.90 and 868.46

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Solution

The fourth proportional to 2,623.53, 3,935.90 and 868.46 is: 1,302.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,623.53 : 3,935.90 = 868.46 : x
  2. Step 2: Convert to fraction form
    2,623.53/3,935.90 = 868.46/x
  3. Step 3: Cross multiply
    2,623.53x = 3,935.90 × 868.46
  4. Step 4: Simplify right side
    2,623.53x = 3,418,183.72
  5. Step 5: Solve for x
    x = 3,418,183.72/2,623.53
  6. Step 6: Final answer
    x = 1,302.89

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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.