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Finding the Fourth Proportional to 12,850.25, 19,278 and 5,454.68

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Solution

The fourth proportional to 12,850.25, 19,278 and 5,454.68 is: 8,183.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,850.25 : 19,278 = 5,454.68 : x
  2. Step 2: Convert to fraction form
    12,850.25/19,278 = 5,454.68/x
  3. Step 3: Cross multiply
    12,850.25x = 19,278 × 5,454.68
  4. Step 4: Simplify right side
    12,850.25x = 105,155,224.65
  5. Step 5: Solve for x
    x = 105,155,224.65/12,850.25
  6. Step 6: Final answer
    x = 8,183.13

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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.