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Finding the Fourth Proportional to 20,615.68, 28,449.12 and 12,232

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Solution

The fourth proportional to 20,615.68, 28,449.12 and 12,232 is: 16,879.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,615.68 : 28,449.12 = 12,232 : x
  2. Step 2: Convert to fraction form
    20,615.68/28,449.12 = 12,232/x
  3. Step 3: Cross multiply
    20,615.68x = 28,449.12 × 12,232
  4. Step 4: Simplify right side
    20,615.68x = 347,989,635.84
  5. Step 5: Solve for x
    x = 347,989,635.84/20,615.68
  6. Step 6: Final answer
    x = 16,879.85

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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.