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Finding the Fourth Proportional to 20,596, 28,422.64 and 12,219.68

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Solution

The fourth proportional to 20,596, 28,422.64 and 12,219.68 is: 16,863.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,596 : 28,422.64 = 12,219.68 : x
  2. Step 2: Convert to fraction form
    20,596/28,422.64 = 12,219.68/x
  3. Step 3: Cross multiply
    20,596x = 28,422.64 × 12,219.68
  4. Step 4: Simplify right side
    20,596x = 347,315,565.56
  5. Step 5: Solve for x
    x = 347,315,565.56/20,596
  6. Step 6: Final answer
    x = 16,863.25

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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.