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Finding the Fourth Proportional to 20,563, 30,848.82 and 8,251

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Solution

The fourth proportional to 20,563, 30,848.82 and 8,251 is: 12,378.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,563 : 30,848.82 = 8,251 : x
  2. Step 2: Convert to fraction form
    20,563/30,848.82 = 8,251/x
  3. Step 3: Cross multiply
    20,563x = 30,848.82 × 8,251
  4. Step 4: Simplify right side
    20,563x = 254,533,613.82
  5. Step 5: Solve for x
    x = 254,533,613.82/20,563
  6. Step 6: Final answer
    x = 12,378.23

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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.