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Finding the Fourth Proportional to 30,274.60, 45,413.04 and 13,631.44

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Solution

The fourth proportional to 30,274.60, 45,413.04 and 13,631.44 is: 20,447.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,274.60 : 45,413.04 = 13,631.44 : x
  2. Step 2: Convert to fraction form
    30,274.60/45,413.04 = 13,631.44/x
  3. Step 3: Cross multiply
    30,274.60x = 45,413.04 × 13,631.44
  4. Step 4: Simplify right side
    30,274.60x = 619,045,129.98
  5. Step 5: Solve for x
    x = 619,045,129.98/30,274.60
  6. Step 6: Final answer
    x = 20,447.67

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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.