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Finding the Fourth Proportional to 20,806.77, 28,716 and 11,857.50

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Solution

The fourth proportional to 20,806.77, 28,716 and 11,857.50 is: 16,364.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,806.77 : 28,716 = 11,857.50 : x
  2. Step 2: Convert to fraction form
    20,806.77/28,716 = 11,857.50/x
  3. Step 3: Cross multiply
    20,806.77x = 28,716 × 11,857.50
  4. Step 4: Simplify right side
    20,806.77x = 340,499,970
  5. Step 5: Solve for x
    x = 340,499,970/20,806.77
  6. Step 6: Final answer
    x = 16,364.86

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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.