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Finding the Fourth Proportional to 27,321, 40,991.22 and 13,479.72

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Solution

The fourth proportional to 27,321, 40,991.22 and 13,479.72 is: 20,224.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,321 : 40,991.22 = 13,479.72 : x
  2. Step 2: Convert to fraction form
    27,321/40,991.22 = 13,479.72/x
  3. Step 3: Cross multiply
    27,321x = 40,991.22 × 13,479.72
  4. Step 4: Simplify right side
    27,321x = 552,550,168.06
  5. Step 5: Solve for x
    x = 552,550,168.06/27,321
  6. Step 6: Final answer
    x = 20,224.38

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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.