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Finding the Fourth Proportional to 13,720, 20,553.70 and 8,156.50

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Solution

The fourth proportional to 13,720, 20,553.70 and 8,156.50 is: 12,219.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,720 : 20,553.70 = 8,156.50 : x
  2. Step 2: Convert to fraction form
    13,720/20,553.70 = 8,156.50/x
  3. Step 3: Cross multiply
    13,720x = 20,553.70 × 8,156.50
  4. Step 4: Simplify right side
    13,720x = 167,646,254.05
  5. Step 5: Solve for x
    x = 167,646,254.05/13,720
  6. Step 6: Final answer
    x = 12,219.11

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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.