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Finding the Fourth Proportional to 21,166.74, 31,757.75 and 8,019

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Solution

The fourth proportional to 21,166.74, 31,757.75 and 8,019 is: 12,031.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,166.74 : 31,757.75 = 8,019 : x
  2. Step 2: Convert to fraction form
    21,166.74/31,757.75 = 8,019/x
  3. Step 3: Cross multiply
    21,166.74x = 31,757.75 × 8,019
  4. Step 4: Simplify right side
    21,166.74x = 254,665,364.67
  5. Step 5: Solve for x
    x = 254,665,364.67/21,166.74
  6. Step 6: Final answer
    x = 12,031.39

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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.