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Finding the Fourth Proportional to 14,938.24, 20,616.78 and 8,651.08

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Solution

The fourth proportional to 14,938.24, 20,616.78 and 8,651.08 is: 11,939.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,938.24 : 20,616.78 = 8,651.08 : x
  2. Step 2: Convert to fraction form
    14,938.24/20,616.78 = 8,651.08/x
  3. Step 3: Cross multiply
    14,938.24x = 20,616.78 × 8,651.08
  4. Step 4: Simplify right side
    14,938.24x = 178,357,413.12
  5. Step 5: Solve for x
    x = 178,357,413.12/14,938.24
  6. Step 6: Final answer
    x = 11,939.65

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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.