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Finding the Fourth Proportional to 21,177, 31,770.04 and 8,029.46

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Solution

The fourth proportional to 21,177, 31,770.04 and 8,029.46 is: 12,045.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,177 : 31,770.04 = 8,029.46 : x
  2. Step 2: Convert to fraction form
    21,177/31,770.04 = 8,029.46/x
  3. Step 3: Cross multiply
    21,177x = 31,770.04 × 8,029.46
  4. Step 4: Simplify right side
    21,177x = 255,096,265.38
  5. Step 5: Solve for x
    x = 255,096,265.38/21,177
  6. Step 6: Final answer
    x = 12,045.91

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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.