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Finding the Fourth Proportional to 20,576, 28,395.08 and 11,144.76

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Solution

The fourth proportional to 20,576, 28,395.08 and 11,144.76 is: 15,379.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,576 : 28,395.08 = 11,144.76 : x
  2. Step 2: Convert to fraction form
    20,576/28,395.08 = 11,144.76/x
  3. Step 3: Cross multiply
    20,576x = 28,395.08 × 11,144.76
  4. Step 4: Simplify right side
    20,576x = 316,456,351.78
  5. Step 5: Solve for x
    x = 316,456,351.78/20,576
  6. Step 6: Final answer
    x = 15,379.88

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1.5x scale

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.