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Finding the Fourth Proportional to 20,900, 28,841.52 and 11,575.80

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Solution

The fourth proportional to 20,900, 28,841.52 and 11,575.80 is: 15,974.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,900 : 28,841.52 = 11,575.80 : x
  2. Step 2: Convert to fraction form
    20,900/28,841.52 = 11,575.80/x
  3. Step 3: Cross multiply
    20,900x = 28,841.52 × 11,575.80
  4. Step 4: Simplify right side
    20,900x = 333,863,667.22
  5. Step 5: Solve for x
    x = 333,863,667.22/20,900
  6. Step 6: Final answer
    x = 15,974.34

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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.