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Finding the Fourth Proportional to 27,772, 38,327.28 and 18,324.16

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Solution

The fourth proportional to 27,772, 38,327.28 and 18,324.16 is: 25,288.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,772 : 38,327.28 = 18,324.16 : x
  2. Step 2: Convert to fraction form
    27,772/38,327.28 = 18,324.16/x
  3. Step 3: Cross multiply
    27,772x = 38,327.28 × 18,324.16
  4. Step 4: Simplify right side
    27,772x = 702,315,211.08
  5. Step 5: Solve for x
    x = 702,315,211.08/27,772
  6. Step 6: Final answer
    x = 25,288.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.