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Finding the Fourth Proportional to 30,601.78, 45,900.43 and 8,413.45

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Solution

The fourth proportional to 30,601.78, 45,900.43 and 8,413.45 is: 12,619.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,601.78 : 45,900.43 = 8,413.45 : x
  2. Step 2: Convert to fraction form
    30,601.78/45,900.43 = 8,413.45/x
  3. Step 3: Cross multiply
    30,601.78x = 45,900.43 × 8,413.45
  4. Step 4: Simplify right side
    30,601.78x = 386,180,972.78
  5. Step 5: Solve for x
    x = 386,180,972.78/30,601.78
  6. Step 6: Final answer
    x = 12,619.56

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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.