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Finding the Fourth Proportional to 12,665.64, 18,989.46 and 3,895.68

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Solution

The fourth proportional to 12,665.64, 18,989.46 and 3,895.68 is: 5,840.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,665.64 : 18,989.46 = 3,895.68 : x
  2. Step 2: Convert to fraction form
    12,665.64/18,989.46 = 3,895.68/x
  3. Step 3: Cross multiply
    12,665.64x = 18,989.46 × 3,895.68
  4. Step 4: Simplify right side
    12,665.64x = 73,976,859.53
  5. Step 5: Solve for x
    x = 73,976,859.53/12,665.64
  6. Step 6: Final answer
    x = 5,840.75

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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.