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Finding the Fourth Proportional to 21,853.75, 32,780.72 and 8,002.75

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Solution

The fourth proportional to 21,853.75, 32,780.72 and 8,002.75 is: 12,004.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,853.75 : 32,780.72 = 8,002.75 : x
  2. Step 2: Convert to fraction form
    21,853.75/32,780.72 = 8,002.75/x
  3. Step 3: Cross multiply
    21,853.75x = 32,780.72 × 8,002.75
  4. Step 4: Simplify right side
    21,853.75x = 262,335,906.98
  5. Step 5: Solve for x
    x = 262,335,906.98/21,853.75
  6. Step 6: Final answer
    x = 12,004.16

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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.