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Finding the Fourth Proportional to 39,213.86, 58,823.04 and 11,131.72

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Solution

The fourth proportional to 39,213.86, 58,823.04 and 11,131.72 is: 16,698.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,213.86 : 58,823.04 = 11,131.72 : x
  2. Step 2: Convert to fraction form
    39,213.86/58,823.04 = 11,131.72/x
  3. Step 3: Cross multiply
    39,213.86x = 58,823.04 × 11,131.72
  4. Step 4: Simplify right side
    39,213.86x = 654,801,577.03
  5. Step 5: Solve for x
    x = 654,801,577.03/39,213.86
  6. Step 6: Final answer
    x = 16,698.22

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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.