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Finding the Fourth Proportional to 21,801, 30,077.62 and 14,251.67

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Solution

The fourth proportional to 21,801, 30,077.62 and 14,251.67 is: 19,662.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,801 : 30,077.62 = 14,251.67 : x
  2. Step 2: Convert to fraction form
    21,801/30,077.62 = 14,251.67/x
  3. Step 3: Cross multiply
    21,801x = 30,077.62 × 14,251.67
  4. Step 4: Simplify right side
    21,801x = 428,656,314.63
  5. Step 5: Solve for x
    x = 428,656,314.63/21,801
  6. Step 6: Final answer
    x = 19,662.23

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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.