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Finding the Fourth Proportional to 21,827, 30,120 and 12,873.98

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Solution

The fourth proportional to 21,827, 30,120 and 12,873.98 is: 17,765.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,827 : 30,120 = 12,873.98 : x
  2. Step 2: Convert to fraction form
    21,827/30,120 = 12,873.98/x
  3. Step 3: Cross multiply
    21,827x = 30,120 × 12,873.98
  4. Step 4: Simplify right side
    21,827x = 387,764,277.60
  5. Step 5: Solve for x
    x = 387,764,277.60/21,827
  6. Step 6: Final answer
    x = 17,765.35

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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.