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Finding the Fourth Proportional to 12,643.89, 18,971.30 and 4,850.88

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Solution

The fourth proportional to 12,643.89, 18,971.30 and 4,850.88 is: 7,278.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.89 : 18,971.30 = 4,850.88 : x
  2. Step 2: Convert to fraction form
    12,643.89/18,971.30 = 4,850.88/x
  3. Step 3: Cross multiply
    12,643.89x = 18,971.30 × 4,850.88
  4. Step 4: Simplify right side
    12,643.89x = 92,027,499.74
  5. Step 5: Solve for x
    x = 92,027,499.74/12,643.89
  6. Step 6: Final answer
    x = 7,278.42

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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.