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Finding the Fourth Proportional to 10,862, 16,293 and 3,936.50

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Solution

The fourth proportional to 10,862, 16,293 and 3,936.50 is: 5,904.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862 : 16,293 = 3,936.50 : x
  2. Step 2: Convert to fraction form
    10,862/16,293 = 3,936.50/x
  3. Step 3: Cross multiply
    10,862x = 16,293 × 3,936.50
  4. Step 4: Simplify right side
    10,862x = 64,137,394.50
  5. Step 5: Solve for x
    x = 64,137,394.50/10,862
  6. Step 6: Final answer
    x = 5,904.75

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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.