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Finding the Fourth Proportional to 13,817.21, 20,730.99 and 8,274.47

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Solution

The fourth proportional to 13,817.21, 20,730.99 and 8,274.47 is: 12,414.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.21 : 20,730.99 = 8,274.47 : x
  2. Step 2: Convert to fraction form
    13,817.21/20,730.99 = 8,274.47/x
  3. Step 3: Cross multiply
    13,817.21x = 20,730.99 × 8,274.47
  4. Step 4: Simplify right side
    13,817.21x = 171,537,954.83
  5. Step 5: Solve for x
    x = 171,537,954.83/13,817.21
  6. Step 6: Final answer
    x = 12,414.80

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1.5x scale

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.