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Finding the Fourth Proportional to 21,321.63, 31,982.65 and 8,170.88

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Solution

The fourth proportional to 21,321.63, 31,982.65 and 8,170.88 is: 12,256.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,321.63 : 31,982.65 = 8,170.88 : x
  2. Step 2: Convert to fraction form
    21,321.63/31,982.65 = 8,170.88/x
  3. Step 3: Cross multiply
    21,321.63x = 31,982.65 × 8,170.88
  4. Step 4: Simplify right side
    21,321.63x = 261,326,214.89
  5. Step 5: Solve for x
    x = 261,326,214.89/21,321.63
  6. Step 6: Final answer
    x = 12,256.39

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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.