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Finding the Fourth Proportional to 12,409.74, 18,611.55 and 7,413.48

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Solution

The fourth proportional to 12,409.74, 18,611.55 and 7,413.48 is: 11,118.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.74 : 18,611.55 = 7,413.48 : x
  2. Step 2: Convert to fraction form
    12,409.74/18,611.55 = 7,413.48/x
  3. Step 3: Cross multiply
    12,409.74x = 18,611.55 × 7,413.48
  4. Step 4: Simplify right side
    12,409.74x = 137,976,353.69
  5. Step 5: Solve for x
    x = 137,976,353.69/12,409.74
  6. Step 6: Final answer
    x = 11,118.39

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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.