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Finding the Fourth Proportional to 12,309.87, 18,465.06 and 3,989.87

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Solution

The fourth proportional to 12,309.87, 18,465.06 and 3,989.87 is: 5,984.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.87 : 18,465.06 = 3,989.87 : x
  2. Step 2: Convert to fraction form
    12,309.87/18,465.06 = 3,989.87/x
  3. Step 3: Cross multiply
    12,309.87x = 18,465.06 × 3,989.87
  4. Step 4: Simplify right side
    12,309.87x = 73,673,096.62
  5. Step 5: Solve for x
    x = 73,673,096.62/12,309.87
  6. Step 6: Final answer
    x = 5,984.88

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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.