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Finding the Fourth Proportional to 38,230.50, 57,234.50 and 28,413.30

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Solution

The fourth proportional to 38,230.50, 57,234.50 and 28,413.30 is: 42,537.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,230.50 : 57,234.50 = 28,413.30 : x
  2. Step 2: Convert to fraction form
    38,230.50/57,234.50 = 28,413.30/x
  3. Step 3: Cross multiply
    38,230.50x = 57,234.50 × 28,413.30
  4. Step 4: Simplify right side
    38,230.50x = 1,626,221,018.85
  5. Step 5: Solve for x
    x = 1,626,221,018.85/38,230.50
  6. Step 6: Final answer
    x = 42,537.27

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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.