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Finding the Fourth Proportional to 20,685, 28,543.14 and 11,729.64

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Solution

The fourth proportional to 20,685, 28,543.14 and 11,729.64 is: 16,185.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,685 : 28,543.14 = 11,729.64 : x
  2. Step 2: Convert to fraction form
    20,685/28,543.14 = 11,729.64/x
  3. Step 3: Cross multiply
    20,685x = 28,543.14 × 11,729.64
  4. Step 4: Simplify right side
    20,685x = 334,800,756.67
  5. Step 5: Solve for x
    x = 334,800,756.67/20,685
  6. Step 6: Final answer
    x = 16,185.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.