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Finding the Fourth Proportional to 4,638, 6,956.46 and 1,175.28

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Solution

The fourth proportional to 4,638, 6,956.46 and 1,175.28 is: 1,762.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638 : 6,956.46 = 1,175.28 : x
  2. Step 2: Convert to fraction form
    4,638/6,956.46 = 1,175.28/x
  3. Step 3: Cross multiply
    4,638x = 6,956.46 × 1,175.28
  4. Step 4: Simplify right side
    4,638x = 8,175,788.31
  5. Step 5: Solve for x
    x = 8,175,788.31/4,638
  6. Step 6: Final answer
    x = 1,762.78

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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.