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Finding the Fourth Proportional to 6,436, 9,654 and 2,788

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Solution

The fourth proportional to 6,436, 9,654 and 2,788 is: 4,182

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436 : 9,654 = 2,788 : x
  2. Step 2: Convert to fraction form
    6,436/9,654 = 2,788/x
  3. Step 3: Cross multiply
    6,436x = 9,654 × 2,788
  4. Step 4: Simplify right side
    6,436x = 26,915,352
  5. Step 5: Solve for x
    x = 26,915,352/6,436
  6. Step 6: Final answer
    x = 4,182

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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.