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Finding the Fourth Proportional to 21,796.64, 30,060.24 and 14,240

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Solution

The fourth proportional to 21,796.64, 30,060.24 and 14,240 is: 19,638.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,796.64 : 30,060.24 = 14,240 : x
  2. Step 2: Convert to fraction form
    21,796.64/30,060.24 = 14,240/x
  3. Step 3: Cross multiply
    21,796.64x = 30,060.24 × 14,240
  4. Step 4: Simplify right side
    21,796.64x = 428,057,817.60
  5. Step 5: Solve for x
    x = 428,057,817.60/21,796.64
  6. Step 6: Final answer
    x = 19,638.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.