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Finding the Fourth Proportional to 20,714.78, 31,059.88 and 8,228.09

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Solution

The fourth proportional to 20,714.78, 31,059.88 and 8,228.09 is: 12,337.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,714.78 : 31,059.88 = 8,228.09 : x
  2. Step 2: Convert to fraction form
    20,714.78/31,059.88 = 8,228.09/x
  3. Step 3: Cross multiply
    20,714.78x = 31,059.88 × 8,228.09
  4. Step 4: Simplify right side
    20,714.78x = 255,563,488.03
  5. Step 5: Solve for x
    x = 255,563,488.03/20,714.78
  6. Step 6: Final answer
    x = 12,337.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.