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Finding the Fourth Proportional to 13,730, 20,592.24 and 8,109.76

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Solution

The fourth proportional to 13,730, 20,592.24 and 8,109.76 is: 12,163.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730 : 20,592.24 = 8,109.76 : x
  2. Step 2: Convert to fraction form
    13,730/20,592.24 = 8,109.76/x
  3. Step 3: Cross multiply
    13,730x = 20,592.24 × 8,109.76
  4. Step 4: Simplify right side
    13,730x = 166,998,124.26
  5. Step 5: Solve for x
    x = 166,998,124.26/13,730
  6. Step 6: Final answer
    x = 12,163.01

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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.