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Finding the Fourth Proportional to 13,766, 20,649 and 4,532.72

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Solution

The fourth proportional to 13,766, 20,649 and 4,532.72 is: 6,799.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,766 : 20,649 = 4,532.72 : x
  2. Step 2: Convert to fraction form
    13,766/20,649 = 4,532.72/x
  3. Step 3: Cross multiply
    13,766x = 20,649 × 4,532.72
  4. Step 4: Simplify right side
    13,766x = 93,596,135.28
  5. Step 5: Solve for x
    x = 93,596,135.28/13,766
  6. Step 6: Final answer
    x = 6,799.08

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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.