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Finding the Fourth Proportional to 13,836.50, 20,755.12 and 4,602.50

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Solution

The fourth proportional to 13,836.50, 20,755.12 and 4,602.50 is: 6,903.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,836.50 : 20,755.12 = 4,602.50 : x
  2. Step 2: Convert to fraction form
    13,836.50/20,755.12 = 4,602.50/x
  3. Step 3: Cross multiply
    13,836.50x = 20,755.12 × 4,602.50
  4. Step 4: Simplify right side
    13,836.50x = 95,525,439.80
  5. Step 5: Solve for x
    x = 95,525,439.80/13,836.50
  6. Step 6: Final answer
    x = 6,903.87

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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.