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Finding the Fourth Proportional to 20,584, 28,409.16 and 12,198.88

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Solution

The fourth proportional to 20,584, 28,409.16 and 12,198.88 is: 16,836.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,584 : 28,409.16 = 12,198.88 : x
  2. Step 2: Convert to fraction form
    20,584/28,409.16 = 12,198.88/x
  3. Step 3: Cross multiply
    20,584x = 28,409.16 × 12,198.88
  4. Step 4: Simplify right side
    20,584x = 346,559,933.74
  5. Step 5: Solve for x
    x = 346,559,933.74/20,584
  6. Step 6: Final answer
    x = 16,836.37

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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.