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Finding the Fourth Proportional to 21,200, 31,803.48 and 8,716.64

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Solution

The fourth proportional to 21,200, 31,803.48 and 8,716.64 is: 13,076.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,200 : 31,803.48 = 8,716.64 : x
  2. Step 2: Convert to fraction form
    21,200/31,803.48 = 8,716.64/x
  3. Step 3: Cross multiply
    21,200x = 31,803.48 × 8,716.64
  4. Step 4: Simplify right side
    21,200x = 277,219,485.91
  5. Step 5: Solve for x
    x = 277,219,485.91/21,200
  6. Step 6: Final answer
    x = 13,076.39

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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.