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Finding the Fourth Proportional to 12,381.92, 18,572.64 and 3,022

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Solution

The fourth proportional to 12,381.92, 18,572.64 and 3,022 is: 4,532.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.92 : 18,572.64 = 3,022 : x
  2. Step 2: Convert to fraction form
    12,381.92/18,572.64 = 3,022/x
  3. Step 3: Cross multiply
    12,381.92x = 18,572.64 × 3,022
  4. Step 4: Simplify right side
    12,381.92x = 56,126,518.08
  5. Step 5: Solve for x
    x = 56,126,518.08/12,381.92
  6. Step 6: Final answer
    x = 4,532.94

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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.