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Finding the Fourth Proportional to 5,284, 7,926 and 1,636

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Solution

The fourth proportional to 5,284, 7,926 and 1,636 is: 2,454

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,284 : 7,926 = 1,636 : x
  2. Step 2: Convert to fraction form
    5,284/7,926 = 1,636/x
  3. Step 3: Cross multiply
    5,284x = 7,926 × 1,636
  4. Step 4: Simplify right side
    5,284x = 12,966,936
  5. Step 5: Solve for x
    x = 12,966,936/5,284
  6. Step 6: Final answer
    x = 2,454

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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.