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Finding the Fourth Proportional to 13,633.68, 20,431 and 10,847.80

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Solution

The fourth proportional to 13,633.68, 20,431 and 10,847.80 is: 16,256.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,633.68 : 20,431 = 10,847.80 : x
  2. Step 2: Convert to fraction form
    13,633.68/20,431 = 10,847.80/x
  3. Step 3: Cross multiply
    13,633.68x = 20,431 × 10,847.80
  4. Step 4: Simplify right side
    13,633.68x = 221,631,401.80
  5. Step 5: Solve for x
    x = 221,631,401.80/13,633.68
  6. Step 6: Final answer
    x = 16,256.17

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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.