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Finding the Fourth Proportional to 20,522.68, 30,796.98 and 8,053

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Solution

The fourth proportional to 20,522.68, 30,796.98 and 8,053 is: 12,084.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,522.68 : 30,796.98 = 8,053 : x
  2. Step 2: Convert to fraction form
    20,522.68/30,796.98 = 8,053/x
  3. Step 3: Cross multiply
    20,522.68x = 30,796.98 × 8,053
  4. Step 4: Simplify right side
    20,522.68x = 248,008,079.94
  5. Step 5: Solve for x
    x = 248,008,079.94/20,522.68
  6. Step 6: Final answer
    x = 12,084.59

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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.