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Finding the Fourth Proportional to 31,992.63, 47,990.07 and 8,619.63

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Solution

The fourth proportional to 31,992.63, 47,990.07 and 8,619.63 is: 12,929.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,992.63 : 47,990.07 = 8,619.63 : x
  2. Step 2: Convert to fraction form
    31,992.63/47,990.07 = 8,619.63/x
  3. Step 3: Cross multiply
    31,992.63x = 47,990.07 × 8,619.63
  4. Step 4: Simplify right side
    31,992.63x = 413,656,647.07
  5. Step 5: Solve for x
    x = 413,656,647.07/31,992.63
  6. Step 6: Final answer
    x = 12,929.75

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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.