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Finding the Fourth Proportional to 20,518, 28,314.84 and 11,686

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Solution

The fourth proportional to 20,518, 28,314.84 and 11,686 is: 16,126.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,518 : 28,314.84 = 11,686 : x
  2. Step 2: Convert to fraction form
    20,518/28,314.84 = 11,686/x
  3. Step 3: Cross multiply
    20,518x = 28,314.84 × 11,686
  4. Step 4: Simplify right side
    20,518x = 330,887,220.24
  5. Step 5: Solve for x
    x = 330,887,220.24/20,518
  6. Step 6: Final answer
    x = 16,126.68

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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.