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Finding the Fourth Proportional to 12,574.82, 18,867.10 and 3,809.82

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Solution

The fourth proportional to 12,574.82, 18,867.10 and 3,809.82 is: 5,716.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.82 : 18,867.10 = 3,809.82 : x
  2. Step 2: Convert to fraction form
    12,574.82/18,867.10 = 3,809.82/x
  3. Step 3: Cross multiply
    12,574.82x = 18,867.10 × 3,809.82
  4. Step 4: Simplify right side
    12,574.82x = 71,880,254.92
  5. Step 5: Solve for x
    x = 71,880,254.92/12,574.82
  6. Step 6: Final answer
    x = 5,716.21

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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.