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Finding the Fourth Proportional to 20,710, 28,578 and 11,757.88

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Solution

The fourth proportional to 20,710, 28,578 and 11,757.88 is: 16,224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,710 : 28,578 = 11,757.88 : x
  2. Step 2: Convert to fraction form
    20,710/28,578 = 11,757.88/x
  3. Step 3: Cross multiply
    20,710x = 28,578 × 11,757.88
  4. Step 4: Simplify right side
    20,710x = 336,016,694.64
  5. Step 5: Solve for x
    x = 336,016,694.64/20,710
  6. Step 6: Final answer
    x = 16,224.85

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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.