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Finding the Fourth Proportional to 20,811, 31,216.53 and 8,499

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Solution

The fourth proportional to 20,811, 31,216.53 and 8,499 is: 12,748.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,811 : 31,216.53 = 8,499 : x
  2. Step 2: Convert to fraction form
    20,811/31,216.53 = 8,499/x
  3. Step 3: Cross multiply
    20,811x = 31,216.53 × 8,499
  4. Step 4: Simplify right side
    20,811x = 265,309,288.47
  5. Step 5: Solve for x
    x = 265,309,288.47/20,811
  6. Step 6: Final answer
    x = 12,748.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.