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Finding the Fourth Proportional to 13,540.78, 20,305.78 and 5,216.20

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Solution

The fourth proportional to 13,540.78, 20,305.78 and 5,216.20 is: 7,822.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,540.78 : 20,305.78 = 5,216.20 : x
  2. Step 2: Convert to fraction form
    13,540.78/20,305.78 = 5,216.20/x
  3. Step 3: Cross multiply
    13,540.78x = 20,305.78 × 5,216.20
  4. Step 4: Simplify right side
    13,540.78x = 105,919,009.64
  5. Step 5: Solve for x
    x = 105,919,009.64/13,540.78
  6. Step 6: Final answer
    x = 7,822.22

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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.