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Finding the Fourth Proportional to 21,185.67, 31,784.43 and 8,039.08

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Solution

The fourth proportional to 21,185.67, 31,784.43 and 8,039.08 is: 12,060.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,185.67 : 31,784.43 = 8,039.08 : x
  2. Step 2: Convert to fraction form
    21,185.67/31,784.43 = 8,039.08/x
  3. Step 3: Cross multiply
    21,185.67x = 31,784.43 × 8,039.08
  4. Step 4: Simplify right side
    21,185.67x = 255,517,416.60
  5. Step 5: Solve for x
    x = 255,517,416.60/21,185.67
  6. Step 6: Final answer
    x = 12,060.86

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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.