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Finding the Fourth Proportional to 13,860, 20,790 and 5,543.76

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Solution

The fourth proportional to 13,860, 20,790 and 5,543.76 is: 8,315.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,860 : 20,790 = 5,543.76 : x
  2. Step 2: Convert to fraction form
    13,860/20,790 = 5,543.76/x
  3. Step 3: Cross multiply
    13,860x = 20,790 × 5,543.76
  4. Step 4: Simplify right side
    13,860x = 115,254,770.40
  5. Step 5: Solve for x
    x = 115,254,770.40/13,860
  6. Step 6: Final answer
    x = 8,315.64

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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.