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Finding the Fourth Proportional to 12,940.96, 19,413.84 and 8,562.08

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Solution

The fourth proportional to 12,940.96, 19,413.84 and 8,562.08 is: 12,844.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,940.96 : 19,413.84 = 8,562.08 : x
  2. Step 2: Convert to fraction form
    12,940.96/19,413.84 = 8,562.08/x
  3. Step 3: Cross multiply
    12,940.96x = 19,413.84 × 8,562.08
  4. Step 4: Simplify right side
    12,940.96x = 166,222,851.19
  5. Step 5: Solve for x
    x = 166,222,851.19/12,940.96
  6. Step 6: Final answer
    x = 12,844.71

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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.