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Finding the Fourth Proportional to 10,809.81, 16,214.49 and 3,018.42

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Solution

The fourth proportional to 10,809.81, 16,214.49 and 3,018.42 is: 4,527.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.81 : 16,214.49 = 3,018.42 : x
  2. Step 2: Convert to fraction form
    10,809.81/16,214.49 = 3,018.42/x
  3. Step 3: Cross multiply
    10,809.81x = 16,214.49 × 3,018.42
  4. Step 4: Simplify right side
    10,809.81x = 48,942,140.91
  5. Step 5: Solve for x
    x = 48,942,140.91/10,809.81
  6. Step 6: Final answer
    x = 4,527.57

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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.