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Finding the Fourth Proportional to 14,261.28, 21,393 and 3,873.12

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Solution

The fourth proportional to 14,261.28, 21,393 and 3,873.12 is: 5,809.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,261.28 : 21,393 = 3,873.12 : x
  2. Step 2: Convert to fraction form
    14,261.28/21,393 = 3,873.12/x
  3. Step 3: Cross multiply
    14,261.28x = 21,393 × 3,873.12
  4. Step 4: Simplify right side
    14,261.28x = 82,857,656.16
  5. Step 5: Solve for x
    x = 82,857,656.16/14,261.28
  6. Step 6: Final answer
    x = 5,809.97

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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.