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Finding the Fourth Proportional to 13,867, 20,800.77 and 4,633

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Solution

The fourth proportional to 13,867, 20,800.77 and 4,633 is: 6,949.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,867 : 20,800.77 = 4,633 : x
  2. Step 2: Convert to fraction form
    13,867/20,800.77 = 4,633/x
  3. Step 3: Cross multiply
    13,867x = 20,800.77 × 4,633
  4. Step 4: Simplify right side
    13,867x = 96,369,967.41
  5. Step 5: Solve for x
    x = 96,369,967.41/13,867
  6. Step 6: Final answer
    x = 6,949.59

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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.