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Finding the Fourth Proportional to 12,641.72, 18,965.62 and 4,850.53

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Solution

The fourth proportional to 12,641.72, 18,965.62 and 4,850.53 is: 7,276.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.72 : 18,965.62 = 4,850.53 : x
  2. Step 2: Convert to fraction form
    12,641.72/18,965.62 = 4,850.53/x
  3. Step 3: Cross multiply
    12,641.72x = 18,965.62 × 4,850.53
  4. Step 4: Simplify right side
    12,641.72x = 91,993,320.36
  5. Step 5: Solve for x
    x = 91,993,320.36/12,641.72
  6. Step 6: Final answer
    x = 7,276.96

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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.