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Finding the Fourth Proportional to 30,606.01, 45,902.97 and 8,413.66

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Solution

The fourth proportional to 30,606.01, 45,902.97 and 8,413.66 is: 12,618.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,606.01 : 45,902.97 = 8,413.66 : x
  2. Step 2: Convert to fraction form
    30,606.01/45,902.97 = 8,413.66/x
  3. Step 3: Cross multiply
    30,606.01x = 45,902.97 × 8,413.66
  4. Step 4: Simplify right side
    30,606.01x = 386,211,982.57
  5. Step 5: Solve for x
    x = 386,211,982.57/30,606.01
  6. Step 6: Final answer
    x = 12,618.83

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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.