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Finding the Fourth Proportional to 2,638, 3,956.97 and 2,477.62

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Solution

The fourth proportional to 2,638, 3,956.97 and 2,477.62 is: 3,716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638 : 3,956.97 = 2,477.62 : x
  2. Step 2: Convert to fraction form
    2,638/3,956.97 = 2,477.62/x
  3. Step 3: Cross multiply
    2,638x = 3,956.97 × 2,477.62
  4. Step 4: Simplify right side
    2,638x = 9,803,868.01
  5. Step 5: Solve for x
    x = 9,803,868.01/2,638
  6. Step 6: Final answer
    x = 3,716.40

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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.