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Finding the Fourth Proportional to 20,703.52, 28,566 and 11,749

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Solution

The fourth proportional to 20,703.52, 28,566 and 11,749 is: 16,210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,703.52 : 28,566 = 11,749 : x
  2. Step 2: Convert to fraction form
    20,703.52/28,566 = 11,749/x
  3. Step 3: Cross multiply
    20,703.52x = 28,566 × 11,749
  4. Step 4: Simplify right side
    20,703.52x = 335,621,934
  5. Step 5: Solve for x
    x = 335,621,934/20,703.52
  6. Step 6: Final answer
    x = 16,210.86

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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.