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Finding the Fourth Proportional to 20,871.72, 28,803.09 and 11,311.77

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Solution

The fourth proportional to 20,871.72, 28,803.09 and 11,311.77 is: 15,610.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,871.72 : 28,803.09 = 11,311.77 : x
  2. Step 2: Convert to fraction form
    20,871.72/28,803.09 = 11,311.77/x
  3. Step 3: Cross multiply
    20,871.72x = 28,803.09 × 11,311.77
  4. Step 4: Simplify right side
    20,871.72x = 325,813,929.37
  5. Step 5: Solve for x
    x = 325,813,929.37/20,871.72
  6. Step 6: Final answer
    x = 15,610.31

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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.