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Finding the Fourth Proportional to 13,679.16, 20,495.16 and 10,683.24

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Solution

The fourth proportional to 13,679.16, 20,495.16 and 10,683.24 is: 16,006.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,679.16 : 20,495.16 = 10,683.24 : x
  2. Step 2: Convert to fraction form
    13,679.16/20,495.16 = 10,683.24/x
  3. Step 3: Cross multiply
    13,679.16x = 20,495.16 × 10,683.24
  4. Step 4: Simplify right side
    13,679.16x = 218,954,713.12
  5. Step 5: Solve for x
    x = 218,954,713.12/13,679.16
  6. Step 6: Final answer
    x = 16,006.44

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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.