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Finding the Fourth Proportional to 30,212.70, 45,323.67 and 15,413.55

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Solution

The fourth proportional to 30,212.70, 45,323.67 and 15,413.55 is: 23,122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,212.70 : 45,323.67 = 15,413.55 : x
  2. Step 2: Convert to fraction form
    30,212.70/45,323.67 = 15,413.55/x
  3. Step 3: Cross multiply
    30,212.70x = 45,323.67 × 15,413.55
  4. Step 4: Simplify right side
    30,212.70x = 698,598,653.73
  5. Step 5: Solve for x
    x = 698,598,653.73/30,212.70
  6. Step 6: Final answer
    x = 23,122.68

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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.