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Finding the Fourth Proportional to 11,328.54, 16,974.78 and 7,617.12

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Solution

The fourth proportional to 11,328.54, 16,974.78 and 7,617.12 is: 11,413.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,328.54 : 16,974.78 = 7,617.12 : x
  2. Step 2: Convert to fraction form
    11,328.54/16,974.78 = 7,617.12/x
  3. Step 3: Cross multiply
    11,328.54x = 16,974.78 × 7,617.12
  4. Step 4: Simplify right side
    11,328.54x = 129,298,936.23
  5. Step 5: Solve for x
    x = 129,298,936.23/11,328.54
  6. Step 6: Final answer
    x = 11,413.56

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1.5x scale

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.