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Finding the Fourth Proportional to 20,828.92, 28,714.01 and 14,850.21

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Solution

The fourth proportional to 20,828.92, 28,714.01 and 14,850.21 is: 20,471.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,828.92 : 28,714.01 = 14,850.21 : x
  2. Step 2: Convert to fraction form
    20,828.92/28,714.01 = 14,850.21/x
  3. Step 3: Cross multiply
    20,828.92x = 28,714.01 × 14,850.21
  4. Step 4: Simplify right side
    20,828.92x = 426,409,078.44
  5. Step 5: Solve for x
    x = 426,409,078.44/20,828.92
  6. Step 6: Final answer
    x = 20,471.97

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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.