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Finding the Fourth Proportional to 18,176.16, 25,083 and 10,218

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Solution

The fourth proportional to 18,176.16, 25,083 and 10,218 is: 14,100.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,176.16 : 25,083 = 10,218 : x
  2. Step 2: Convert to fraction form
    18,176.16/25,083 = 10,218/x
  3. Step 3: Cross multiply
    18,176.16x = 25,083 × 10,218
  4. Step 4: Simplify right side
    18,176.16x = 256,298,094
  5. Step 5: Solve for x
    x = 256,298,094/18,176.16
  6. Step 6: Final answer
    x = 14,100.78

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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.